中文摘要：

通过黄龙病在柑橘中的传播机理,建立了一个媒介传染病动力学模型.利用LaSalle不变性原理,Ben-dixson-Dulac定理证明了当R0≤1时无病平衡点全局渐近稳定,当R0〉1时地方病平衡点全局渐近稳定.

英文摘要：

In this paper,according to the transmission mechanism of Huanglongbing,we construct a dynamic model of vectorborne diseases.By applying LaSalle’s Invariance Principle and Bendixson-Dulac Theorem,the global stability of the disease-free equilibrium and endemic equilibrium under R0≤1 and R0 ＆gt; 1 has been proved,respectively.