Existence and global attractivity of positive periodic solutions for a predator-prey model with Crowley-Martin functional response
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Date
2018-11-26
Authors
Li, Xiaowan
Lin, Xiaojie
Liu, Jiang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we consider a predator-prey system with mutual interference and Crowley-Martin functional response. We obtain positive solutions for the system by using the comparison principle. The existence of periodic solutions is established by applying coincidence degree theory. In addition, we obtain that the system has only one positive periodic solution which is a global attractor by constructing a proper Lyapunov function.
Description
Keywords
Predator-prey model, Crowley-Martin functional response, Periodic solutions, Permanence, Global attractors, Lyapunov function
Citation
Li, X., Lin, X., & Liu, J. (2018). Existence and global attractivity of positive periodic solutions for a predator-prey model with Crowley-Martin functional response. <i>Electronic Journal of Differential Equations, 2018</i>(191), pp. 1-17.
Rights
Attribution 4.0 International