Stability analysis of a vector-borne disease with variable human population (Q369858)
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scientific article; zbMATH DE number 6209248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability analysis of a vector-borne disease with variable human population |
scientific article; zbMATH DE number 6209248 |
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Stability analysis of a vector-borne disease with variable human population (English)
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19 September 2013
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Summary: A mathematical model of a vector-borne disease involving a variable human population is analyzed. The varying population size includes a term for disease-related deaths. Equilibria and stability are determined for the system of ordinary differential equations. If \(R_0 \leq 1\), the disease-``free'' equilibrium is globally asymptotically stable and the disease always dies out. If \(R_0 > 1\), a unique ``endemic'' equilibrium is globally asymptotically stable in the interior of feasible region and the disease persists at the ``endemic'' level. Our theoretical results are sustained by numerical simulations.
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