| 具有功能性反应的捕食模型的持久性和灭绝性 |
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| 引用本文： | 王爱丽.具有功能性反应的捕食模型的持久性和灭绝性[J].科学技术与工程,2011,11(7):1525-1526,1534. |
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| 作者姓名： | 王爱丽 |
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| 作者单位： | 宝鸡文理学院数学系,宝鸡,721013 |
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| 基金项目： | 宝鸡文理学院重点科研计划项目(ZK0912),陕西省教育厅科研资助项目(2010JK399) |
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| 摘 要： | 讨论了一类具有第Ⅱ类功能性反应函数的捕食-被捕食模型。分别给出了捕食者和被捕食者种群均灭绝;捕食者种群灭绝,而被捕食者种群幸存;以及两种群长期共存的条件。最后通过实例说明所得结论的可实现性。
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| 关 键 词： | 功能性反应 稳定性 捕食-被捕食模型 |
| 收稿时间： | 2010/12/17 0:00:00 |
| 修稿时间： | 2010/12/17 0:00:00 |
Permanence and Extinction of a Class of Predator-prey Model with Functional Response |
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| Wang Ai-li.Permanence and Extinction of a Class of Predator-prey Model with Functional Response[J].Science Technology and Engineering,2011,11(7):1525-1526,1534. |
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| Authors: | Wang Ai-li |
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| Institution: | WANG Ai-li (Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,P.R.China) |
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| Abstract: | A class of predator-prey model with functional response is investigated. We obtain the conditions under which all the species become extinct, the predator species become extinct while the prey species keep permanent and the two species keep permanent, respectively. Moreover, the feasibility of the result is shown by example. |
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| Keywords: | functional response stability predator-prey model |
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