Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4975886 | Journal of the Franklin Institute | 2011 | 23 Pages |
Abstract
An impulsive reaction-diffusion periodic food-chain system with Holling type III functional response is presented and studied in this paper. Sufficient conditions for the ultimate boundedness and permanence of the food-chain system are established based on the upper and lower solution method and comparison theory of differential equation. 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 shown to illustrate our results. A discussion is given in the end of the paper.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Zijian Liu, Shouming Zhong, Xiaoyun Liu,