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2012 Global Stability of Multigroup Dengue Disease Transmission Model
Deqiong Ding, Xueping Wang, Xiaohua Ding
J. Appl. Math. 2012: 1-11 (2012). DOI: 10.1155/2012/342472


We investigate a class of multigroup dengue epidemic model. We show that the global dynamics are determined by the basic reproductive number R 0 . We present that when R 0 1 , there is a unique disease-free equilibrium which is globally asymptotically stable; when R 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.


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Deqiong Ding. Xueping Wang. Xiaohua Ding. "Global Stability of Multigroup Dengue Disease Transmission Model." J. Appl. Math. 2012 1 - 11, 2012.


Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1235.93183
MathSciNet: MR2898061
Digital Object Identifier: 10.1155/2012/342472

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
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