Analysis of a stochastic SIR model with vaccination and nonlinear incidence rate (Q778605)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Analysis of a stochastic SIR model with vaccination and nonlinear incidence rate |
scientific article; zbMATH DE number 7217331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of a stochastic SIR model with vaccination and nonlinear incidence rate |
scientific article; zbMATH DE number 7217331 |
Statements
Analysis of a stochastic SIR model with vaccination and nonlinear incidence rate (English)
0 references
3 July 2020
0 references
Summary: We expand an SIR epidemic model with vertical and nonlinear incidence rates from a deterministic frame to a stochastic one. The existence of a positive global analytical solution of the proposed stochastic model is shown, and conditions for the extinction and persistence of the disease are established. The presented results are demonstrated by numerical simulations.
0 references
0 references
0 references
0 references
0 references
