https://orsj-ml.org/orwiki/wiki/index.php?action=history&feed=atom&title=%E6%8D%95%E9%A3%9F%E8%80%85%2F%E8%A2%AB%E9%A3%9F%E8%80%85%E3%83%A2%E3%83%87%E3%83%AB 捕食者/被食者モデル - 版の履歴 2026-04-13T15:10:21Z このウィキのこのページに関する変更履歴 MediaWiki 1.35.3 https://orsj-ml.org/orwiki/wiki/index.php?title=%E6%8D%95%E9%A3%9F%E8%80%85/%E8%A2%AB%E9%A3%9F%E8%80%85%E3%83%A2%E3%83%87%E3%83%AB&diff=11013&oldid=prev 2008年11月13日 (木) 12:53にAlbeit-Kunによる 2008-11-13T12:53:23Z <p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ja"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 古い版</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2008年11月13日 (木) 12:53時点における版</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l11" >11行目:</td> <td colspan="2" class="diff-lineno">11行目:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>ここで, &lt;math&gt;a_1,~a_2,~b_1,~b_2,~c_1\geq 0\,&lt;/math&gt;である.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>ここで, &lt;math&gt;a_1,~a_2,~b_1,~b_2,~c_1\geq 0\,&lt;/math&gt;である.</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">[[category:予測|ほしょくしゃ / ひしょくしゃもでる]]</ins></div></td></tr> </table> Albeit-Kun https://orsj-ml.org/orwiki/wiki/index.php?title=%E6%8D%95%E9%A3%9F%E8%80%85/%E8%A2%AB%E9%A3%9F%E8%80%85%E3%83%A2%E3%83%87%E3%83%AB&diff=7103&oldid=prev Orsjwiki: "捕食者/被食者モデル" を保護しました。 [edit=sysop:move=sysop] 2007-07-20T02:07:54Z <p>&quot;捕食者/被食者モデル&quot; を保護しました。 [edit=sysop:move=sysop]</p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <tr class="diff-title" lang="ja"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← 古い版</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">2007年7月20日 (金) 02:07時点における版</td> </tr><tr><td colspan="2" class="diff-notice" lang="ja"><div class="mw-diff-empty">(相違点なし)</div> </td></tr></table> Orsjwiki https://orsj-ml.org/orwiki/wiki/index.php?title=%E6%8D%95%E9%A3%9F%E8%80%85/%E8%A2%AB%E9%A3%9F%E8%80%85%E3%83%A2%E3%83%87%E3%83%AB&diff=5600&oldid=prev 2007年7月18日 (水) 02:12に122.17.2.240による 2007-07-18T02:12:53Z <p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ja"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 古い版</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2007年7月18日 (水) 02:12時点における版</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3" >3行目:</td> <td colspan="2" class="diff-lineno">3行目:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>捕食者/被食者モデルは1920年代にロトカ (Lotka) とボルテラ (Volterra) が独立に提起したモデルで, 微分方程式は一般にロトカ・ボルテラ方程式と呼ばれる. 捕食者数&lt;math&gt;N_2\,&lt;/math&gt;, 被食者数&lt;math&gt;N_1\,&lt;/math&gt;は次の微分方程式にしたがう.  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>捕食者/被食者モデルは1920年代にロトカ (Lotka) とボルテラ (Volterra) が独立に提起したモデルで, 微分方程式は一般にロトカ・ボルテラ方程式と呼ばれる. 捕食者数&lt;math&gt;N_2\,&lt;/math&gt;, 被食者数&lt;math&gt;N_1\,&lt;/math&gt;は次の微分方程式にしたがう.  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">:</del>&lt;math&gt;{\mathrm d} N_1/{\mathrm d}t=N_1(a_1-b_1N_2-c_1 N_1)\,&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&lt;center&gt;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt;{\mathrm d} N_1/{\mathrm d}t=N_1(a_1-b_1N_2-c_1 N_1)\,&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">:</del>&lt;math&gt;{\mathrm d} N_2/{\mathrm d}t=N_2(-a_2+b_2 N_1)\,&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>&lt;math&gt;{\mathrm d} N_2/{\mathrm d}t=N_2(-a_2+b_2 N_1)\,&lt;/math&gt;</div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&lt;/center&gt;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>ここで, &lt;math&gt;a_1,~a_2,~b_1,~b_2,~c_1\geq 0\,&lt;/math&gt;である.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>ここで, &lt;math&gt;a_1,~a_2,~b_1,~b_2,~c_1\geq 0\,&lt;/math&gt;である.</div></td></tr> </table> 122.17.2.240 https://orsj-ml.org/orwiki/wiki/index.php?title=%E6%8D%95%E9%A3%9F%E8%80%85/%E8%A2%AB%E9%A3%9F%E8%80%85%E3%83%A2%E3%83%87%E3%83%AB&diff=5161&oldid=prev 2007年7月17日 (火) 03:21に122.17.2.240による 2007-07-17T03:21:09Z <p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ja"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 古い版</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2007年7月17日 (火) 03:21時点における版</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l5" >5行目:</td> <td colspan="2" class="diff-lineno">5行目:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:&lt;math&gt;{\mathrm d} N_1/{\mathrm d}t=N_1(a_1-b_1N_2-c_1 N_1)\,&lt;/math&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:&lt;math&gt;{\mathrm d} N_1/{\mathrm d}t=N_1(a_1-b_1N_2-c_1 N_1)\,&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"></del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:&lt;math&gt;{\mathrm d} N_2/{\mathrm d}t=N_2(-a_2+b_2 N_1)\,&lt;/math&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:&lt;math&gt;{\mathrm d} N_2/{\mathrm d}t=N_2(-a_2+b_2 N_1)\,&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>ここで, &lt;math&gt;a_1,~a_2,~b_1,~b_2,~c_1\geq 0\,&lt;/math&gt;である.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>ここで, &lt;math&gt;a_1,~a_2,~b_1,~b_2,~c_1\geq 0\,&lt;/math&gt;である.</div></td></tr> </table> 122.17.2.240 https://orsj-ml.org/orwiki/wiki/index.php?title=%E6%8D%95%E9%A3%9F%E8%80%85/%E8%A2%AB%E9%A3%9F%E8%80%85%E3%83%A2%E3%83%87%E3%83%AB&diff=5160&oldid=prev 2007年7月17日 (火) 03:20に122.17.2.240による 2007-07-17T03:20:54Z <p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ja"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 古い版</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2007年7月17日 (火) 03:20時点における版</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >1行目:</td> <td colspan="2" class="diff-lineno">1行目:</td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>【ほしょくしゃ / ひしょくしゃもでる (prey/predator model)】</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">'''</ins>【ほしょくしゃ / ひしょくしゃもでる (prey/predator model)】<ins class="diffchange diffchange-inline">'''</ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>捕食者/被食者モデルは1920年代にロトカ (Lotka) とボルテラ (Volterra) が独立に提起したモデルで, 微分方程式は一般にロトカ・ボルテラ方程式と呼ばれる. 捕食者数&lt;math&gt;N_2\,&lt;/math&gt;, 被食者数&lt;math&gt;N_1\,&lt;/math&gt;は次の微分方程式にしたがう.  </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>捕食者/被食者モデルは1920年代にロトカ (Lotka) とボルテラ (Volterra) が独立に提起したモデルで, 微分方程式は一般にロトカ・ボルテラ方程式と呼ばれる. 捕食者数&lt;math&gt;N_2\,&lt;/math&gt;, 被食者数&lt;math&gt;N_1\,&lt;/math&gt;は次の微分方程式にしたがう.  </div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">　　　</del>&lt;math&gt;{\mathrm d} N_1/{\mathrm d}t=N_1(a_1-b_1N_2-c_1 N_1)\,&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:</ins>&lt;math&gt;{\mathrm d} N_1/{\mathrm d}t=N_1(a_1-b_1N_2-c_1 N_1)\,&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">　　　</del>&lt;math&gt;{\mathrm d} N_2/{\mathrm d}t=N_2(-a_2+b_2 N_1)\,&lt;/math&gt;</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">:</ins>&lt;math&gt;{\mathrm d} N_2/{\mathrm d}t=N_2(-a_2+b_2 N_1)\,&lt;/math&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>&lt;br&gt;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>ここで, &lt;math&gt;a_1,~a_2,~b_1,~b_2,~c_1\geq 0\,&lt;/math&gt;である.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>ここで, &lt;math&gt;a_1,~a_2,~b_1,~b_2,~c_1\geq 0\,&lt;/math&gt;である.</div></td></tr> </table> 122.17.2.240 https://orsj-ml.org/orwiki/wiki/index.php?title=%E6%8D%95%E9%A3%9F%E8%80%85/%E8%A2%AB%E9%A3%9F%E8%80%85%E3%83%A2%E3%83%87%E3%83%AB&diff=4716&oldid=prev 2007年7月14日 (土) 06:23に222.225.128.87による 2007-07-14T06:23:16Z <p></p> <table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="ja"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← 古い版</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">2007年7月14日 (土) 06:23時点における版</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >1行目:</td> <td colspan="2" class="diff-lineno">1行目:</td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>【ほしょくしゃ / ひしょくしゃもでる (prey/predator model)】</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>【ほしょくしゃ / ひしょくしゃもでる (prey/predator model)】</div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>捕食者/被食者モデルは1920年代にロトカ (Lotka) とボルテラ (Volterra) が独立に提起したモデルで, 微分方程式は一般にロトカ・ボルテラ方程式と呼ばれる. 捕食者数<del class="diffchange diffchange-inline">$</del>N_2<del class="diffchange diffchange-inline">$</del>, 被食者数<del class="diffchange diffchange-inline">$</del>N_1<del class="diffchange diffchange-inline">$</del>は次の微分方程式にしたがう.  </div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>捕食者/被食者モデルは1920年代にロトカ (Lotka) とボルテラ (Volterra) が独立に提起したモデルで, 微分方程式は一般にロトカ・ボルテラ方程式と呼ばれる. 捕食者数<ins class="diffchange diffchange-inline">&lt;math&gt;</ins>N_2<ins class="diffchange diffchange-inline">\,&lt;/math&gt;</ins>, 被食者数<ins class="diffchange diffchange-inline">&lt;math&gt;</ins>N_1<ins class="diffchange diffchange-inline">\,&lt;/math&gt;</ins>は次の微分方程式にしたがう.  </div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\qquad ${\mbox{\rm d}}</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline"> N_1/{\mbox{\rm d}}t=N_1(a_1-b_1N_2-c_1 N_1)$</del></div></td><td colspan="2"> </td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">\qquad ${\mbox</del>{\<del class="diffchange diffchange-inline">rm </del>d}<del class="diffchange diffchange-inline">} N_2</del>/{\<del class="diffchange diffchange-inline">mbox{\rm </del>d<del class="diffchange diffchange-inline">}</del>}t=<del class="diffchange diffchange-inline">N_2</del>(-<del class="diffchange diffchange-inline">a_2+b_2 </del>N_1)<del class="diffchange diffchange-inline">$</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">　　　&lt;math&gt;</ins>{\<ins class="diffchange diffchange-inline">mathrm </ins>d} <ins class="diffchange diffchange-inline">N_1</ins>/{\<ins class="diffchange diffchange-inline">mathrm </ins>d}t=<ins class="diffchange diffchange-inline">N_1</ins>(<ins class="diffchange diffchange-inline">a_1-b_1N_2</ins>-<ins class="diffchange diffchange-inline">c_1 </ins>N_1)<ins class="diffchange diffchange-inline">\,&lt;/math&gt;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&lt;br&gt;</ins></div></td></tr> <tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\<del class="diffchange diffchange-inline">noindent </del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">　　　&lt;math&gt;{</ins>\<ins class="diffchange diffchange-inline">mathrm d} N_2/{\mathrm d}t=N_2(-a_2+b_2 N_1)\,&lt;/math&gt;</ins></div></td></tr> <tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>ここで, <del class="diffchange diffchange-inline">$</del>a_1,~a_2,~b_1,~b_2,~c_1\geq 0<del class="diffchange diffchange-inline">$</del>である.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">&lt;br&gt;</ins></div></td></tr> <tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>ここで, <ins class="diffchange diffchange-inline">&lt;math&gt;</ins>a_1,~a_2,~b_1,~b_2,~c_1\geq 0<ins class="diffchange diffchange-inline">\,&lt;/math&gt;</ins>である.</div></td></tr> </table> 222.225.128.87 https://orsj-ml.org/orwiki/wiki/index.php?title=%E6%8D%95%E9%A3%9F%E8%80%85/%E8%A2%AB%E9%A3%9F%E8%80%85%E3%83%A2%E3%83%87%E3%83%AB&diff=4082&oldid=prev 122.17.2.240: 新しいページ: '【ほしょくしゃ / ひしょくしゃもでる (prey/predator model)】 捕食者/被食者モデルは1920年代にロトカ (Lotka) とボルテラ (Volterra) が独立...' 2007-07-13T02:47:18Z <p>新しいページ: &#039;【ほしょくしゃ / ひしょくしゃもでる (prey/predator model)】 捕食者/被食者モデルは1920年代にロトカ (Lotka) とボルテラ (Volterra) が独立...&#039;</p> <p><b>新規ページ</b></p><div>【ほしょくしゃ / ひしょくしゃもでる (prey/predator model)】<br /> <br /> 捕食者/被食者モデルは1920年代にロトカ (Lotka) とボルテラ (Volterra) が独立に提起したモデルで, 微分方程式は一般にロトカ・ボルテラ方程式と呼ばれる. 捕食者数$N_2$, 被食者数$N_1$は次の微分方程式にしたがう. <br /> \qquad ${\mbox{\rm d}}<br /> N_1/{\mbox{\rm d}}t=N_1(a_1-b_1N_2-c_1 N_1)$<br /> <br /> \qquad ${\mbox{\rm d}} N_2/{\mbox{\rm d}}t=N_2(-a_2+b_2 N_1)$<br /> <br /> \noindent <br /> ここで, $a_1,~a_2,~b_1,~b_2,~c_1\geq 0$である.</div> 122.17.2.240