Dynamics of stochastic predator-prey models with distributed delay and stage structure for prey  

作　　者：Qun Liu Daqing Jiang Tasawar Hayat 

机构地区：[1]School of Mathematics and Statistics Key Laboratory of Applied Statistics of MOE Northeast Normal University,Changchun 130024 Jilin Province,P.R.China [2]College of Science,China University of Petroleum Qingdao 266580,Shandong Province,P.R.China [3]Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group,King A bdulaziz University Jeddah,Saudi Arabia

出　　处：《International Journal of Biomathematics》2021年第4期85-120,共36页生物数学学报（英文版）

基　　金：This work is supported by the National Natural Science Foundation of China(Nos.12001090,11871473);Shandong Provincial Natural Science Foundation(No.ZR2019MA010);the Fundamental Research Funds for the Central Universities of China(No.2412020QD024).

摘　　要：In this paper,we analyze two stochastic predator-prey models with distributed delay and stage structure for prey.For the nonautonomous periodic case of the model,by using Khasminskii’s theory of periodic solution,we show that the system has at least one positive T-periodic solution.For the model which is disturbed by both white and telegraph noises,we obtain sufficient criteria for positive recurrence of the solutions to the model by constructing a suitable stochastic Lyapunov function with regime switching.The positive recurrence implies that both prey and predator populations will be persistent in the long term.

关 键 词：Stochastic predator-prey model stage structure distributed delay periodic solution positive recurrence 

分 类 号：O17[理学—数学]