一类成年捕食幼年的同类相食种群模型的动力学分析

Dynamic Analysis of a Cannibalistic Population Model in which Adults Prey on Juveniles

本文建立了一类成年捕食幼年的同类相食种群模型;讨论了解的有界性、平衡点的存在性和稳定性,通过Dulac定理排除了模型周期解的存在性,从而得到了模型的全局动力学性态;最后,利用Matlab进行数值模拟,验证了理论分析的结果,显示了在一定条件下系统会呈现双稳性态.

In this paper,a cannibalism population model has been established in which adults prey on juveniles.We discuss the boundedness of solutions and the existence and stability of equilibrium points.The existence of periodic solution of model has been ruled out through the Dulac theorem,so as to get the global dynamics of model.And finally,the results of theoretical analysis have been verified by numerical simulations with Matlab.The results of numerical simulations show that the system exhibits bistability under certain conditions.