Almost periodic dynamics of delayed prey-predator model with discontinuous harvesting policies and Hassell-Varley type functional response  

作　　者：Dongxiao Chen Dongshu Wang 

机构地区：[1]Fujian Province University Key Laboratory of Computation Science School of Mathematical Sciences,Huaqiao University Quanzhou,Fujian 362021,P.R.China

出　　处：《International Journal of Biomathematics》2018年第7期1-36,共36页生物数学学报（英文版）

基　　金：supported by the Nationa1 Natural Science Foundation of China(11871231,11501221);the Natural Science Foundation of Fujian Province (2015J01584);the Cultivation Program for Outstariding Young Scientific Talents of the Higher Education Institutions of Fujian Province in 2016;the Promotion Program for Young and Middle—aged Teacher in Science and Technology Research of Huaqiao University(ZQN—PY401).

摘　　要：In this study,a class of delayed prey-predator model with Hassell-Varley type functional response is investigated,in which the harvesting policies are modeled by discontinuous functions.Based on functional differential inclusions and set-valued analysis theories,the local and global existence of positive solution in sense of Filippov is given.By employing theory of functional differential inclusions and generalized differential inequalities,some sufficient conditions which guarantee the permanence of the system are obtained.Accord- ing to non-smooth analysis theory with generalized Lyapunov functional approach,a series of useful criteria on existence,uniqueness and global asymptotic stability of the almost positive periodic solution to the system are derived.Some suitable examples together with their numerical simulations are given to illustrate the effectiveness of our results by using MATLAB.

关 键 词：DISCONTINUOUS HARVESTING policy FUNCTIONAL differential inclusions HassellVarley TYPE FUNCTIONAL response PERMANENCE almost positive periodic solution global attractivity. 

分 类 号：G[文化科学]