Periodic Solution for a Stochastic Predator-Prey Model with Impulses and Holling-II Functional Response  

作　　者：Yafei Yang Yuanfu Shao Mengwei Li 

机构地区：[1]College of Physics, Guilin University of Technology, Guangxi, China

出　　处：《Journal of Applied Mathematics and Physics》2019年第10期2212-2230,共19页应用数学与应用物理（英文）

摘　　要：Considering the mutual interference between species, a stochastic predator-prey model with impulses and Holling-II functional response is proposed in this paper. Firstly, by constructing an equivalent system without impulses, the existence of a globally unique positive solution is proved. Secondly, in cases of the mutual coefficient m = 1 and 0 m < 1, by constructing suitable Lyapunov functional, the existence of T-periodic solution is investigated under some certain conditions. Finally, numerical simulation is introduced to verify our main results.Considering the mutual interference between species, a stochastic predator-prey model with impulses and Holling-II functional response is proposed in this paper. Firstly, by constructing an equivalent system without impulses, the existence of a globally unique positive solution is proved. Secondly, in cases of the mutual coefficient m = 1 and 0 m < 1, by constructing suitable Lyapunov functional, the existence of T-periodic solution is investigated under some certain conditions. Finally, numerical simulation is introduced to verify our main results.

关 键 词：STOCHASTIC IMPULSES Mutual Interference PERIODIC Solution 

分 类 号：O17[理学—数学]