GLOBAL ASYMPTOTICAL STABILITY OF AN OBLIGATE LOTKA-VOLTERRA MUTUALISM MODEL

• 作者: Fengde Chen Liya Yang Rongyu Han Yuanfang Chen
• 来源期刊: 微分方程年刊：英文版
• 学科: 生物学
• 关键词: LOTKA-VOLTERRA 全局渐近稳定性 互惠模型 LOTKA-VOLTERRA LYAPUNOV函数 正平衡点 非负平衡点 充分条件
• 年，卷（期）: 2014,（3）
• 页码范围: 267-271
• 页数: 5页
• 分类号: Q141

摘要

By constructing a suitable Lyapunov function,sufficient conditions which ensure the global asymptotical stability of the positive equilibrium and boundary equilibrium of an obligate Lotka-Volterra mutualism model are obtained,respectively.It is shown that the conditions which ensure the local stability of the nonnegative equilibria is enough to ensure their global asymptotical stability.Our result supplements and complements some known result.