A stochastic prey-predator model with time-dependent delays

Xiangjun Dai, Zhi Mao, Xiaojun Li
2017 Advances in Difference Equations  
A stochastic predator-prey system with time-dependent delays is considered. Firstly, we show the existence of a global positive solution and stochastically ultimate boundedness. Secondly, the critical value between weak persistence and extinction of the prey is obtained and we also give the asymptotic pathwise estimation. Finally, we simulate the model to illustrate our results. MSC: 92B05; 92D25; 93E03
doi:10.1186/s13662-017-1321-0 fatcat:afva6vpil5cupe2vqxzypuixru