Coexistence states for a diffusive one-prey and two-predators model with B-D functional response

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:387

Article

Zhang, Guohong¹  Wang, Wendi¹  Wang, Xiaoli¹ 

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

关键词: Coexistence state;    Beddington-DeAngelis functional response;    Fixed point index;    Stability;    Uniqueness;    Permanence;    Global attractor;   

DOI  :  10.1016/j.jmaa.2011.09.049

来源: Elsevier

【 摘 要 】

In this paper, we study a diffusive one-prey and two-predators system with Beddington-DeAngelis functional response. The sufficient and necessary conditions for the existence of coexistence states are obtained by means of the fixed point index theory. In addition, the stability and uniqueness of coexistence states are investigated. Finally, we give the sufficient conditions for extinction and permanence of the time-dependent system. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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