| 具有广义扩散的三种群非自治系统解的吸引性 |
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| 引用本文： | 王爱丽,阎恩让. 具有广义扩散的三种群非自治系统解的吸引性[J]. 安徽大学学报(自然科学版), 2009, 33(5) |
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| 作者姓名： | 王爱丽 阎恩让 |
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| 作者单位： | 宝鸡文理学院,数学系,陕西,宝鸡,721007 |
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| 基金项目： | 国家自然科学基金资助项目，宝鸡文理学院重点科研计划基金资助项目 |
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| 摘 要： | 讨论了一类具有广义扩散的三种群非自治捕食系统,该系统的所有系数分别渐近于某一确定的周期函数.通过构造Lyapunov函数和利用比较原理的方法,得到了该系统的所有正确均渐近于相应的周期系统的周期解的充分条件.
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| 关 键 词： | 捕食系统 扩散 周期解 吸引性 |
Asymptotic behavior of the positive solution of the nonautonomous predator-prey model with generalized diffusion |
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| WANG Ai-li,YAN En-rang. Asymptotic behavior of the positive solution of the nonautonomous predator-prey model with generalized diffusion[J]. Journal of Anhui University(Natural Sciences), 2009, 33(5) |
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| Authors: | WANG Ai-li YAN En-rang |
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| Affiliation: | WANG Ai-li,YAN En-rang(Department of Mathematics,Baoji University of Arts , Sciences,Baoji 721007,China) |
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| Abstract: | Nonautonomous predator-prey system with diffusion was investigated in the paper,each of the coefficients of which asymptotically approached a periodic function.Sufficient conditions which determined that all the positive solutions of this system asymptotically approached the periodic solution of the corresponding periodic system were obtained,by using comparable theory and constructing Lyapunov-type functions. |
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| Keywords: | predator-prey system diffusion periodic solution attractivity |
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