| 一类具有阶段结构的捕食系统解的渐近性 |
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| 引用本文： | 王爱丽.一类具有阶段结构的捕食系统解的渐近性[J].宝鸡文理学院学报(自然科学版),2008,28(2):96-100. |
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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,陕西,宝鸡,721013 |
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| 基金项目： | 宝鸡文理学院校科研和教改项目 |
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| 摘 要： | 目的讨论一类具有阶段结构的捕食-被捕食模型解的渐近性。方法利用代数方程讨论该模型平衡点的存在性，应用Hurwitz判别法则及特征方程对模型平衡点的稳定性进行分析。结果给出了该模型的平衡点局部渐近稳定的充分条件，并且利用计算机进行模拟仿真，得到了直观可视化结果。结论模型的各个平衡点在一定条件下可以是局部渐近稳定的。
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| 关 键 词： | 平衡点 稳定性 阶段结构 |
Asymptotic behavior of solutions for a class of predator-prey system with stage structure |
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| WANG Ai-li.Asymptotic behavior of solutions for a class of predator-prey system with stage structure[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2008,28(2):96-100. |
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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, Shaanxi, China) |
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| Abstract: | Aim A class of predator-prey system with stage structure is discussed.Methods By using the algebraic equation theory,the existence of equilibrium points of the model are discussed.By using Hurwitz theory and the characteristic equation theory,the stablility of the equilibrium points of the model are analyzed.Results The sufficient conditions for the locally asymptotic stability of the equilibrium points of the model are derived.Simulating by using computer,a visualizational result is presented.Conclusion The equilibrium points can be stable under some certain conditions. |
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| Keywords: | equilibrium point stability stage structure |
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