| 一类食饵具时滞与扩散的非线性脉冲捕食系统正周期解存在性 |
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| 引用本文： | 谭远顺,徐晓曼,夏江.一类食饵具时滞与扩散的非线性脉冲捕食系统正周期解存在性[J].生物数学学报,2012(2):333-341. |
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| 作者姓名： | 谭远顺 徐晓曼 夏江 |
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| 作者单位： | 重庆交通大学理学院,重庆400074 |
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| 基金项目： | 国家自然科学基金资助（10871122）;重庆市自然科学基金（csTc2011Ac6104） |
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| 摘 要： | 主要讨论了一类食饵具有时滞与扩散的非线性脉冲捕食系统正周期解的存在性问题,应用迭合度理论,得到系统存在正周期解的充分条件,推广了没有脉冲时的情形.数值模拟进一步验证了结论的正确性.
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| 关 键 词： | 周期解 时滞 扩散 脉冲 |
Existence of Positive Periodic Solution for Impusive Model with Dispersion and Time Delays in Prey |
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| TAN Yuan-shun,XU Xiao-man,XIA Jiang.Existence of Positive Periodic Solution for Impusive Model with Dispersion and Time Delays in Prey[J].Journal of Biomathematics,2012(2):333-341. |
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| Authors: | TAN Yuan-shun XU Xiao-man XIA Jiang |
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| Institution: | (Department of Mathematics, Chongqing Jiaotong University, Chongqing 430074 China) |
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| Abstract: | In this paper, the existence of positive periodic solution for an impulsive system with dispersion and time delays in prey is studied. Sufficient conditions are obtained by using method of coincidence degree theorem. The result is improved and generalized comparing with the systems without impulsive. |
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| Keywords: | Periodic solution Delay Dispersion Impulsive |
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