%0 Journal Article
%T Periodic Solution for a Stochastic Predator-Prey Model with Impulses and Holling-II Functional Response
%A Yafei Yang
%A Yuanfu Shao
%A Mengwei Li
%J Journal of Applied Mathematics and Physics
%P 2212-2230
%@ 2327-4379
%D 2019
%I Scientific Research Publishing
%R 10.4236/jamp.2019.710152
%X 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 <i>m</i> = 1 and 0 &lt; <i>m</i> &lt; 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.
%K Stochastic
%K Impulses
%K Mutual Interference
%K Periodic Solution
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=95554