| 具时滞的n斑块捕食-食饵扩散系统的正周期解 |
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| 引用本文： | 李必文. 具时滞的n斑块捕食-食饵扩散系统的正周期解[J]. 生物数学学报, 2003, 18(2): 167-175 |
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| 作者姓名： | 李必文 |
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| 作者单位： | 湖北师范学院,数学系,湖北,黄石,435002 |
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| 基金项目： | Supported by the Youth Project Foundation of Hubei Province Education Department(2002B00002) |
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| 摘 要： | 讨论了具时滞和功能反应的n斑块捕食—食饵扩散系统，利用新的方法，得到了该系统正周期解存在性的判别准则．
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| 关 键 词： | 时滞 正周期解 n斑块捕食—食饵扩散系统 迭合度连续性定理 |
Positive Periodic Solutions for n-patches Predator-Prey Dispersion-Delay Models |
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| LI Bi-wen. Positive Periodic Solutions for n-patches Predator-Prey Dispersion-Delay Models[J]. Journal of Biomathematics, 2003, 18(2): 167-175 |
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| Authors: | LI Bi-wen |
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| Abstract: | In this paper, a nonautonomous predator-prey dispersion model with functional response and continuous time delay is studied, where all parameters are time dependent. In this system, which consists of n-patches, the prey species can disperse among n-patches, but the predator species is confined to one patch and cannot disperse. By using a new method, a set of easily verifiable sufficient conditions are derived for positive periodic solutions of the system. |
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| Keywords: | Positive periodic solutions Predator-prey patch system Delay Continuation theorem of coincidence degree |
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