Extinction and ergodic property of stochastic SIS epidemic model with nonlinear incidence rate (Q2016614)
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scientific article; zbMATH DE number 6306038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extinction and ergodic property of stochastic SIS epidemic model with nonlinear incidence rate |
scientific article; zbMATH DE number 6306038 |
Statements
Extinction and ergodic property of stochastic SIS epidemic model with nonlinear incidence rate (English)
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20 June 2014
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Summary: We investigate a stochastic SIS model with nonlinear incidence rate. We show that there exists a unique nonnegative solution to the system, and condition for the infectious individuals \(I(t)\) to be extinct is given. Moreover, we prove that the system has ergodic property. Finally, computer simulations are carried out to verify our results.
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