Global stability of multigroup dengue disease transmission model (Q410937)
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scientific article; zbMATH DE number 6021672
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global stability of multigroup dengue disease transmission model |
scientific article; zbMATH DE number 6021672 |
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Global stability of multigroup dengue disease transmission model (English)
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4 April 2012
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Summary: 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 \(R_0 \leq 1\), 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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