Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471766 | Applied Mathematics Letters | 2017 | 8 Pages |
Abstract
In this paper, we investigate the existence of positive T-periodic solutions in a food web with one predator feeding on n preys by Leray-Schauder degree theory, which plays a significant role on further studying the uniqueness of limit cycles of this food web model. We start with a series of required spaces and operators and construct a bounded open set Ω over which the corresponding Leray-Schauder degree can be well-defined. Afterwards, by the invariance property of homotopy, we verify that the Leray-Schauder degree is not equal to 0 under certain conditions, thus implying the existence of positive T-periodic solutions. Finally, a numerical example is presented to illustrate our result.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Xin Jiang, Gang Meng, Zhikun She,