期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 12, 期 4, 页码 2385-2395出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2011.02.011
关键词
Predator-prey; Refuge; Lyapunov function; Global stability; Turing pattern
In this paper, we investigate the spatiotemporal dynamics of a two-dimensional predator-prey model, which is based on a modified version of the Leslie-Gower scheme incorporating a prey refuge. We establish a Lyapunov function to prove the global stability of the equilibria with diffusion and determine the Turing space in the spatial domain. Furthermore, we perform a series of numerical simulations and find that the model dynamics exhibits complex Turing pattern replication: stripes, cold/hot spots-stripes coexistence and cold/hot spots patterns. The results indicate that the effect of the prey refuge for pattern formation is tremendous. This may enrich the dynamics of the effect of refuge on the predator-prey systems. (C) 2011 Elsevier Ltd. All rights reserved.
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