| 一类具有非单调型功能反应的捕食-食饵扩散系统的持久性和全局吸引性 |
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| 引用本文： | 徐长玲,程荣福.一类具有非单调型功能反应的捕食-食饵扩散系统的持久性和全局吸引性[J].北华大学学报(自然科学版),2016,17(2):141-147. |
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| 作者姓名： | 徐长玲 程荣福 |
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| 作者单位： | 北华大学数学与统计学院,吉林 吉林,132013;北华大学数学与统计学院,吉林 吉林,132013 |
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| 基金项目： | 国家自然科学基金项目(11201008) |
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| 摘 要： | 利用微分方程的比较原理和重合度理论中的延拓定理,及Lyapunov函数和Barbalat引理,研究了一类具有双密度制约和非单调型功能性反应的捕食-食饵扩散系统的持久性和全局吸引性,获得了周期系统存在唯一全局渐近稳定正周期解的充分条件.
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| 关 键 词： | 扩散系统 正周期解 非单调功能性反应 持久性 全局渐近稳定性 |
Persistence and Global Attractivity of a Class of Predator-Prey Diffusive System with Non-Monotonic Type Functional Response |
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| Xu Changling,Cheng Rongfu.Persistence and Global Attractivity of a Class of Predator-Prey Diffusive System with Non-Monotonic Type Functional Response[J].Journal of Beihua University(Natural Science),2016,17(2):141-147. |
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| Authors: | Xu Changling Cheng Rongfu |
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| Abstract: | We investigate the persistence and global attractivity of a class of predator-prey diffusive system with double density restrict and non-monotonic type functional response by applying Comparison Theorem of differential equation, the Continuation Theorem of coincidence degree theory, Barbalat Lemma and Lyapunov Function.The sufficient conditions with the existence of the unique globally asymptotically stable of the positive periodic solution are obtained. |
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| Keywords: | diffusive system positive periodic solution non-monotonic type functional response persistence global asymptotic stability |
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