Threshold Dynamics of a Vector-Borne Epidemic Model for Huanglongbing with Impulsive Control

• 作者: Feifei Feng Hengmin Lv Jianping Wang Juanjuan Wang Zhicai Guo
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: HUANGLONGBING IMPULSIVE Control Basic REPRODUCTION Number Disease-Free PERIODIC Solution PERMANENCE
• 年，卷（期）: 2019,（4）
• 页码范围: 196-211
• 页数: 16页
• 分类号: O1

摘要

In this paper, the basic reproduction number is calculated for Huanglongbing (HLB) model with impulses which is a vector-borne epidemic model with impulses. For controlling HLB, farmers’ experience is replanting of healthy plants and removing infected plants. To reflect the real world, we construct an impulsive control model which considers replanting of healthy plants and removing infected plants at one fixed time. By analyzing the model, we conclude that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number Ro 1, and we prove that the HLB is permanence if the basic reproduction number Ro > 1.