Asymptotic Stability of Solutions of Lotka-Volterra Predator-Prey Model for Four Species

• 作者: A. A. Soliman E. S. Al-Jarallah
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: LOTKA-VOLTERRA Prey-Predators SPECIES Equilibrium Points Stability Locally ASYMPTOTICALLY STABLE Globally ASYMPTOTICALLY STABLE Unstable
• 年，卷（期）: 2015,（4）
• 页码范围: 684-693
• 页数: 10页
• 分类号: O1

摘要

In this paper, we consider Lotka-Volterra predator-prey model between one and three species. Two cases are distinguished. The first is Lotka-Volterra model of one prey-three predators and the second is Lotka-Volterra model of one predator-three preys. The existence conditions of nonnega-tive equilibrium points are established. The local stability analysis of the system is carried out.