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

Jihad Adnani | Zendy; Khalid Hattaf | Zendy; Noura Yousfi | Zendy

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

Author(s) -

Jihad Adnani,

Khalid Hattaf,

Noura Yousfi

Publication year - 2013

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.19

H-Index - 28

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2013/431257

Subject(s) - epidemic model , mathematics , nonlinear system , stability (learning theory) , stochastic modelling , stochastic process , statistical physics , statistics , computer science , population , demography , physics , quantum mechanics , machine learning , sociology

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

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