Dynamical behaviors of a diffusive predator-prey system with Beddington-DeAngelis functional response 被引量：1

Dynamical behaviors of a diffusive predator-prey system with Beddington-DeAngelis functional response

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摘要 In this paper, we present a diffusive predator prey system with Beddington-DeAngelis funetionM response, where the prey species can disperse between the two patches, and there is competition between the two predators. Sufficient conditions for the permanence and extinction of system are established based on the upper and lower solution meth- ods and comparison theory of differential equation. Furthermore, the global asymptotic stability of positive solutions is obtained by constructing a suitable Lyapunov function. By using the continuation theorem in coincidence degree theory, we show the periodicity of positive solutions. Finally, we illustrate global asymptotic stability of the model by a simulation figure.

作者 Han Er-Dong Guo Peng

机构地区 School of ManagementNorthwestern Polytechnical University Xi'an

出处《International Journal of Biomathematics》 2014年第3期163-182,共20页 生物数学学报（英文版）

基金 The authors are grateful to their classmates and teachers for comments and valuable suggestions. This work is supported by the National Natural Science Foundation of China （No. 70672103）.

关键词 Beddington-DeAngelis functional response DIFFUSION PERMANENCE extinc-tion periodic solution asymptotic stability. 捕食系统动力学行为功能性反应扩散 Lyapunov函数全局渐近稳定性消耗臭氧层物质重合度理论

分类号 O322 [理学—一般力学与力学基础] Q141 [生物学—生态学]

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