| 一类具有收获率的捕食-被捕食模型的渐近性 |
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| 引用本文： | 王爱丽.一类具有收获率的捕食-被捕食模型的渐近性[J].科学技术与工程,2010,10(28). |
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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，2010年陕西省教育厅科研项目资助 |
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| 摘 要： | 讨论了一类具有收获率的捕食-被捕食模型.利用代数方程得到了该模型存在平衡点的充分条件,应用Hurwitz判别法则及特征方程给出了该模型的平衡点局部渐近稳定的充分条件.最后通过实例说明所得结论的可实现性.
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| 关 键 词： | 捕食-被捕食模型 渐近稳定性 收获率 |
| 收稿时间： | 7/5/2010 2:03:25 PM |
| 修稿时间： | 7/5/2010 2:03:25 PM |
Asymptotic behavior of a class of predator-prey model with harvesting rate |
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| Wang Ai-li.Asymptotic behavior of a class of predator-prey model with harvesting rate[J].Science Technology and Engineering,2010,10(28). |
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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 harvesting rate is discussed. By using the algebraic equation theory, the sufficient conditions for existence of equilibrium points of the model are obtained. By using Hurwitz theory and the characteristic equation theory, the sufficient conditions for the locally asymptotic stability of the equilibrium points of the model are given. Moreover, the feasibility of the result is shown by example. |
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| Keywords: | predator-prey model asymptotic stability harvesting rate |
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