Global stability of an epidemic model with incomplete treatment and vaccination (Q444271)
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scientific article; zbMATH DE number 6065432
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global stability of an epidemic model with incomplete treatment and vaccination |
scientific article; zbMATH DE number 6065432 |
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Global stability of an epidemic model with incomplete treatment and vaccination (English)
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14 August 2012
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Summary: An epidemic model with incomplete treatment and vaccination for the newborns and susceptibles is constructed. We establish that the global dynamics are completely determined by the basic reproduction number \(R_0\). If \(R_0 \leq 1\), then the disease-free equilibrium is globally asymptotically stable. If \(R_0 > 1\), the endemic equilibrium is globally asymptotically stable. Some numerical simulations are also given to explain our conclusions.
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lobal stability
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epidemic model
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