Positive recurrence and extinction of hybrid stochastic SIRS model with nonlinear incidence rate (Q2034625)
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scientific article; zbMATH DE number 7362019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive recurrence and extinction of hybrid stochastic SIRS model with nonlinear incidence rate |
scientific article; zbMATH DE number 7362019 |
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Positive recurrence and extinction of hybrid stochastic SIRS model with nonlinear incidence rate (English)
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22 June 2021
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Summary: In this paper, the dynamic behavior of a class of hybrid SIRS model with nonlinear incidence is studied. Firstly, we provide the condition under which the positive recurrence exists and then give the threshold \(R_0^S\) for disease extinction, that is, when \(R_0^S<1\), the disease will die out. Finally, some examples are constructed to verify the conclusion.
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