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Entropy 2013, 15(6), 2431-2447; doi:10.3390/e15062431
Article

Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes

1
, 2,*  and 1
1 School of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035, China 2 School of Life and Environmental Science, Wenzhou University, Wenzhou, 325035, China
* Author to whom correspondence should be addressed.
Received: 27 March 2013 / Revised: 5 June 2013 / Accepted: 6 June 2013 / Published: 19 June 2013
(This article belongs to the Special Issue Dynamical Systems)
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Abstract

In this paper, the spatiotemporal dynamics of a diffusive Leslie-Gower predator-prey model with prey refuge are investigated analytically and numerically. Mathematical theoretical works have considered the existence of global solutions, population permanence and the stability of equilibrium points, which depict the threshold expressions of some critical parameters. Numerical simulations are performed to explore the pattern formation of species. These results show that the prey refuge has a profound effect on predator-prey interactions and they have the potential to be useful for the study of the entropy theory of bioinformatics.
Keywords: diffusive predator-prey system; Leslie-Gower; Holling type III schemes; refuge; stability; pattern formation diffusive predator-prey system; Leslie-Gower; Holling type III schemes; refuge; stability; pattern formation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zhao, J.; Zhao, M.; Yu, H. Effect of Prey Refuge on the Spatiotemporal Dynamics of a Modified Leslie-Gower Predator-Prey System with Holling Type III Schemes. Entropy 2013, 15, 2431-2447.

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