Global stability of an epidemic model for vector-borne disease

Hongzhi Yang,Huiming Wei,Xuezhi Li

J. Systems Science & Complexity(2010)

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摘要
This paper considers an epidemic model of a vector-borne disease which has the vectormediated transmission only. The incidence term is of the bilinear mass-action form. It is shown that the global dynamics is completely determined by the basic reproduction number R 0 . If R 0 ≤ 1, the diseasefree equilibrium is globally stable and the disease dies out. If R 0 > 1, a unique endemic equilibrium is globally stable in the interior of the feasible region and the disease persists at the endemic equilibrium. Numerical simulations are presented to illustrate the results.
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关键词
epidemic model,endemic equilibrium,basic reproduction number,vector- borne disease.,vectorborne disease,global stability,numerical simulation,vector borne disease
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