Threshold behavior in a stochastic SIS epidemic model with standard incidence (Q487955)
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scientific article; zbMATH DE number 6389986
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Threshold behavior in a stochastic SIS epidemic model with standard incidence |
scientific article; zbMATH DE number 6389986 |
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Threshold behavior in a stochastic SIS epidemic model with standard incidence (English)
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23 January 2015
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The authors investigate a stochastic SIS epidemic model with perturbed disease transmission coeficient. They discuss the threshold behavior in the sense that if \(R^s_0<1\), the disease dies out in probability; whereas if \(R^s_0>1\), the densities of the distributions of the solution can converge in \(L^1\) to an invariant density.
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extinction in probability
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stationary distribution
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Markov semigroups
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asymptotic stability
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