带脉冲和强Allee效应的集团内捕食系统的周期解
Periodic solution for intraguild predation system with impulsive and strong Allee effect
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摘要: 建立了具有周期系数的带脉冲和强Allee效应的集团内捕食模型;证明了模型的持久性;利用Mawhin重合度理论与分析工具,研究了该模型周期解的存在性;讨论了周期解的稳定性;得到了正周期解存在、全局稳定的充分条件,并通过数值模拟对结果的有效性进行了验证.Abstract: With strong Allee effect and a periodic coefficient, an impulsive intraguild predation model is established.Persistence of the model is proved.Existence of periodic solutions is studied using Mawhin’s coincidence degree theory and analysis tools.The stability of periodic solutions is discussed.Sufficient conditions are obtained for existence and global stability of positive periodic solutions.Validity of theoretical results is verified by numerical simulations.