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两类两种群动力学方程的稳定性分析
引用本文:王辅俊. 两类两种群动力学方程的稳定性分析[J]. 应用数学和力学, 1991, 12(10): 951-955
作者姓名:王辅俊
作者单位:华东师范大学数学系
摘    要:本文研究两种群动力学方程平衡点的稳定性.讨论两个捕食者-食饵-领地模型,模型用1微分方程描述,模型2用积分微分方程描述.得出平衡点稳定的条件.所得结果指出可实现总体的种群稳定而不管局部的绝灭.

关 键 词:捕食者   食饵   领地   种群数   稳定性
收稿时间:1990-06-20

Stability Analysis for Two Kinds of Equations in Two-Species Population Dynamics
Wang Fu-jun. Stability Analysis for Two Kinds of Equations in Two-Species Population Dynamics[J]. Applied Mathematics and Mechanics, 1991, 12(10): 951-955
Authors:Wang Fu-jun
Affiliation:East China Normal University, Shanghai
Abstract:In this paper we study the stability for equilibrium points of equations in two-population dynamics. We discuss two predator-prey-patch models. Model 1 is described by an differential equation. Model 2 is described by an integral differential equation, we obtain the conditions for the stability of their equilibrium points. The results show that the overall population stability despite local extinction is realizable.
Keywords:predator   prey   patch   population   stability  
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