THE STABILITY OF A REACTION-DIFFUSION LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH NONLOCAL DELAYS AND FEEDBACK CONTROLS

• 作者: Zhenliang Zhu Zhong Li
• 来源期刊: 应用数学年刊:英文版
• 学科: 数学
• 关键词: EXTINCTION feedback control REACTION-DIFFUSION LOTKA-VOLTERRA NONLOCAL DELAYS
• 年，卷（期）: 2019,（1）
• 页码范围: 71-98
• 页数: 28页
• 分类号: O231

摘要

In this paper, we consider a Lotka-Volterra competitive system with nonlocal delays and feedback controls. Using the Lyapunov functional and iterative technique method, we investigate the global stability and extinction of the system. Also, we show the influence of feedback controls on dynamic behaviors of the system. Some examples are presented to verify our main results.