Dynamical analysis of a stage structured predator-prey system with impulsive diffusion and generic functional response
Dynamical analysis of a stage structured predator-prey system with impulsive diffusion and generic functional response
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DOI：
10.1016/j.amc.2013.05.063
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发表时间：
2013-09
期刊：
影响因子：
--
通讯作者：
Yuanfu Shao;Ying Li
中科院分区：
文献类型：
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作者：
Yuanfu Shao;Ying Li
基于具有阶段结构和广义功能反应的捕食者-食饵系统，提出并研究了一个脉冲微分系统来模拟不同固定时刻的周期扩散过程。利用脉冲微分方程的比较定理和一些分析技巧，建立了捕食者灭绝正周期解存在和系统持续生存的充分条件。数值模拟表明，脉冲和功能响应影响系统的动力学，这可能是非常复杂的。
Based on the predator–prey system with stage structure and generalized functional response, an impulsive differential system to model the process of periodical diffusion at different fixed time is proposed and investigated. By using comparison theorem of impulsive differential equation and some analysis techniques, sufficient conditions ensuring the existence of a predator-extinction positive periodic solution and the permanence of the system are established. Numerical simulation shows that impulses and functional response affect the dynamics of the system, which may be very complex.