Existence and stability of periodic solution of a predator-prey model with state-dependent impulsive effects
Existence and stability of periodic solution of a predator-prey model with state-dependent impulsive effects
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DOI：
10.1016/j.matcom.2008.11.015
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发表时间：
2009-03
期刊：
影响因子：
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通讯作者：
L. Nie;Z. Teng;Lin-Xia Hu;Jigen Peng
中科院分区：
文献类型：
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作者：
L. Nie;Z. Teng;Lin-Xia Hu;Jigen Peng
针对害虫综合治理问题，研究了一类具有状态依赖脉冲效应的捕食-食饵系统在释放天敌和喷洒农药两种不同阈值下的动力学行为.利用Poincaré映射和LambertW函数的性质，证明了半平凡解和正周期解的存在性和稳定性的充分条件.数值结果验证了主要结果的可行性。
According to integrated pest management for pests, we investigate the dynamic behavior of a class predator–prey system with state-dependent impulsive effects by releasing natural enemies and spraying pesticide at different thresholds. Using the Poincaré map and the properties of the Lambert W function, we prove the sufficient conditions for the existence and stability of semi-trivial solutions and positive periodic solutions. Numerical results are carried out to illustrate the feasibility of our main results.