Author(s)

Yafei Yang, Yuanfu Shao, Mengwei Li

College of Physics, Guilin University of Technology, Guangxi, China.

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.

Stochastic, Impulses, Mutual Interference, Periodic Solution

Yang, Y. , Shao, Y. and Li, M. (2019) Periodic Solution for a Stochastic Predator-Prey Model with Impulses and Holling-II Functional Response. Journal of Applied Mathematics and Physics, 7, 2212-2230. doi: 10.4236/jamp.2019.710152.