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.
| Original language | English |
|---|---|
| Pages (from-to) | 2703-2718 |
| Number of pages | 16 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 38 |
| Issue number | 13 |
| DOIs | |
| State | Published - 15 Sep 2015 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 3 Good Health and Well-being
Keywords
- Lyapunov function
- global stability
- latency distribution
- multi-group model
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