Dynamical behavior of an epidemic model for a vector-borne disease with treatment

Journal of Shanghai Normal University (Natural Sciences)

GUO Shumin¹  Mini GHOSH² 

[1] Department of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, Guangdong, China;School of Advanced Sciences, Chennai Campus, Vellore Institute of Technology University, Chennai 600048, India;

关键词: vector-borne disease;    mathematical model;    stability;    control measures;   

DOI  :  10.3969/J.ISSN.1000-5137.2019.03.012

来源: DOAJ

【 摘 要 】

In this paper, we investigated an epidemic model of a vector-borne disease with treatment. The reproduction number R₀ of the model is obtained. The equilibria and the threshold of the model were determined by R₀. By using Bendixson-Dulac theorem, it is shown that the unique positive equilibrium for the model is global stable if R₀ is greater than 1. Theoretical results obtained here can help us to explore the method of controlling the spread of vector-borne disease. Finally, numerical simulations for the model are presented to illustrate our mathematical findings.

【 授权许可】

Unknown