Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate

Amine El Koufi, Jihad Adnani, Abdelkrim Bennar, Noura Yousfi
2019 International Journal of Differential Equations  
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.
doi:10.1155/2019/9275051 fatcat:oz3w4csgzzhb5etcgo35cgfjla