具广义功能反应函数非自治捕食系统的持久性和概周期问题

Persistence and almost periodic solutions of non autonomous predator prey system generalized functional response

针对既有捕食关系,有竞争关系的三种群混合非自治捕食系统,将经典的Holling功能反应函数推广为广义功能反应函数,通过构造Liapunov函数,运用常微分方程定性理论知识,研究了系统的持续性和全局渐近稳定性,并进一步讨论了此系统的正概周期解的存在性和稳定性,得到了系统存在唯一、全局渐近稳定正概周期解的充分条件,对已有的结论进行了较大程度的推广.

In this paper, the mixed model with predatoriness and competition of three species is discussed. Through intending the classical Holling functional response with general functional response and building up the Liapunov function, the globe asymptotically stable and durative of system are studied. Then the stability and existing of almost periodic solution are discussed, and obtain some su？cient conditions for a unique positively global asymptotical stability almost periodic solution and extend the current conclusion.