两类两种群动力学方程的稳定性分析

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Stability Analysis for Two Kinds of Equations in Two-Species Population Dynamics

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.
- 捕食者 /
- 食饵 /
- 领地 /
- 种群数 /
- 稳定性
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 a 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.
- predator /
- prey /
- patch /
- population /
- stability

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