Global dynamics of multi‐group dengue disease model with latency distributions |
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| Authors: | Gang Huang Jinliang Wang Jian Zu |
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| Affiliation: | 1. School of Mathematics and Physics, China University of Geosciences, Wuhan, China;2. School of Mathematical Science, Heilongjiang University, Harbin, China;3. Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an, China |
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| Abstract: | In this paper, by incorporating latencies for both human beings and female mosquitoes to the mosquito‐borne diseases model, we investigate a class of multi‐group dengue disease model and study the impacts of heterogeneity and latencies on the spread of infectious disease. Dynamical properties of the multi‐group model with distributed delays are established. The results showthat the global asymptotic stability of the disease‐free equilibrium and the endemic equilibrium depends only on the basic reproduction number. Our proofs for global stability of equilibria use the classical method of Lyapunov functions and the graph‐theoretic approach for large‐scale delay systems. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | global stability latency distribution multi‐group model Lyapunov function |
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