具有时滞和比率依赖的两种群食饵捕食扩散系统的正周期解的存在性(英文)  

Existence of Positive Periodic Solutions for Predator-Prey Diffusive System of Two Species with Time Delay and Ratio Dependence

作　　者：彭跃辉[1] 杜超雄[1] 

机构地区：[1]邵阳学院数学系,湖南邵阳422000

出　　处：《湘潭大学自然科学学报》2014年第2期8-12,共5页Natural Science Journal of Xiangtan University

基　　金：湖南省科技厅计划项目(2012FJ3106)

摘　　要：通过使用一致度的Mawhin连续定理,得出了一类具有时滞和比率依赖的两种群食饵捕食扩散系统的正周期解存在性的判据.该判据概括并推广了董和葛的结论.In this paper,by using Mawhin continuation theorem of coincidence degree theory,we derive a criterion of the existence of positive periodic solutions for predator-prey diffusive system of two species with time delay and ratio-dependence.Our criterion generalized and improved result obtained by Dong and Ge.

关 键 词：群食饵捕食扩散系统 时滞 正周期解 

分 类 号：O175.1[理学—数学]