Stability Analysis of a Stochastic SIR Epidemic Model with Specific Nonlinear Incidence Rate

Jihad Adnani, Khalid Hattaf and Noura Yousfi

International Journal of Stochastic Analysis, 2013, vol. 2013, 1-4

Abstract:

We investigate a stochastic SIR epidemic model with specific nonlinear incidence rate. The stochastic model is derived from the deterministic epidemic model by introducing random perturbations around the endemic equilibrium state. The effect of random perturbations on the stability behavior of endemic equilibrium is discussed. Finally, numerical simulations are presented to illustrate our theoretical results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:431257

DOI: 10.1155/2013/431257

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