Global Dynamic Analysis of a Vector-Borne Plant Disease Model with Discontinuous Treatment

• 作者: Fumin Zhang Hengmin Lv Lizhi Fei Zhen Yuan
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Vector-Borne PLANT Disease Model Basic REPRODUCTION Number DISCONTINUOUS Treatment
• 年，卷（期）: 2018,（5）
• 页码范围: 496-511
• 页数: 16页
• 分类号: O1

摘要

This paper proposes a vector-borne plant disease model with discontinuous treatment strategies. Constructing Lyapunov function and applying non-smooth theory to analyze discontinuous differential equations, the basic reproductive number R0 is proved, which determines whether the plant disease will be extinct or not. If R0 R0 > 1 , there exists a unique endemic equilibrium which is globally stable. The numerical simulations are provided to verify our theoretical results, which indicate that after infective individuals reach some level, strengthening treatment measures is proved to be beneficial in controlling disease transmission.