Dynamics of n+1-dimensional impulsive reaction-diffusion predator-prey system with Holling type III functional response

Journal of Applied Mathematics and Computing - Tập 45 - Trang 275-296 - 2013
Zijian Liu1,2, Chenxue Yang1,3
1School of Science, Chongqing Jiaotong University, Chongqing, P.R. China
2Department of Mathematics, Hangzhou Normal University, Hangzhou, P.R. China
3School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, P.R. China

Tóm tắt

An n+1-dimensional impulsive reaction-diffusion periodic predator-prey system with Holling type III functional response is investigated in the present paper. Sufficient conditions on the ultimate boundedness and permanence of the predator-prey system are established based on the comparison theory of differential equation and upper and lower solution method. By constructing appropriate auxiliary function, the conditions for the existence of a unique globally stable positive periodic solution are also obtained. Some numerical examples are presented to verify our results. A discussion is given in the end of the paper.

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