Global Stability of Multigroup Dengue Disease Transmission Model

Deqiong Ding, Xueping Wang and Xiaohua Ding

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We investigate a class of multigroup dengue epidemic model. We show that the global dynamics are determined by the basic reproductive number R0. We present that when R0 ≤ 1, there is a unique disease‐free equilibrium which is globally asymptotically stable; when R0 > 1, there exists a unique endemic equilibrium and it is globally asymptotically stable proved by a graph‐theoretic approach to the method of global Lyapunov function.

Date: 2012
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https://doi.org/10.1155/2012/342472

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:342472

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