The dynamics of the pulse birth in an SIR epidemic model with standard incidence (Q1040131)
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scientific article; zbMATH DE number 5637365
| Language | Label | Description | Also known as |
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| English | The dynamics of the pulse birth in an SIR epidemic model with standard incidence |
scientific article; zbMATH DE number 5637365 |
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The dynamics of the pulse birth in an SIR epidemic model with standard incidence (English)
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23 November 2009
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Summary: An SIR epidemic model with pulse birth and standard incidence is presented. The dynamics of the epidemic model is analyzed. The basic reproductive number \(R^{\ast }\) is defined. It is proved that the infection-free periodic solution is global asymptotically stable if \(R^{\ast }1\). Our theoretical results are confirmed by numerical simulations.
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pulse birth
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epidemic model
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