Global Stability of Multigroup Dengue Disease Transmission Model

Deqiong Ding, Xueping Wang and Xiaohua Ding

Journal of Applied Mathematics, 2012, vol. 2012, 1-11

Abstract:

We investigate a class of multigroup dengue epidemic model. We show that the global dynamics are determined by the basic reproductive number 𠑅 0 . We present that when 𠑅 0 ≤ 1 , there is a unique disease-free equilibrium which is globally asymptotically stable; when 𠑅 0 > 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:342472

DOI: 10.1155/2012/342472

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