A DENSITY-DEPENDENT PREDATOR-PREY MODEL OF BEDDINGTON-DEANGELIS TYPE

作者：Li, Haiyin^*; She, Zhikun

来源：Electronic Journal of Differential Equations, 2014, 2014: 192.

• Density dependence
• global attractiveness
• omega-limit set
• permanence

In this article, we study the dynamics of a density-dependent predator-prey system of Beddington-DeAngelis type. We obtain sufficient and necessary conditions for the existence of a unique positive equilibrium, the global attractiveness of the boundary equilibrium, and the permanence of the system, respectively. Moreover, we derive a sufficient condition for the locally asymptotic stability of the positive equilibrium by the Lyapunov function theory and a sufficient condition for the global attractiveness of the positive equilibrium by the comparison theory.

• 出版日期2014-9-16
• 单位河南财经政法大学; 北京航空航天大学