文章基本信息

标题：Uniform persistence and almost periodic solutions of a nonautonomous patch occupancy model
本地全文：下载
作者：Hui Zhou ; Jehad Alzabut ; Shahram Rezapour 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-12
DOI：10.1186/s13662-020-02603-2
出版社：Hindawi Publishing Corporation
摘要：In this paper, a nonlinear nonautonomous model in a rocky intertidal community is studied. The model is composed of two species in a rocky intertidal community and describes a patch occupancy with global dispersal of propagules and occupy each other by individual organisms. Firstly, we study the uniform persistence of the model via differential inequality techniques. Furthermore, a sharp threshold of global asymptotic stability and the existence of a unique almost periodic solution are derived. To prove the main results, we construct an appropriate Lyapunov function whose conditions are easily verified. The assumptions of the model are reasonable, and the results complement previously known ones. An example with specific values of parameters is included for demonstration of theoretical outcomes.
关键词：Nonautonomous dynamical species;Uniform persistence;Almost periodic solution;Global asymptotic stability;