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

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  • Jihad Adnani
  • Khalid Hattaf
  • Noura Yousfi

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.

Suggested Citation

  • Jihad Adnani & Khalid Hattaf & Noura Yousfi, 2013. "Stability Analysis of a Stochastic SIR Epidemic Model with Specific Nonlinear Incidence Rate," International Journal of Stochastic Analysis, Hindawi, vol. 2013, pages 1-4, September.
    • Handle: RePEc:hin:jnijsa:431257
    DOI: 10.1155/2013/431257
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    Cited by:

    1. Raja Sekhara Rao, P. & Naresh Kumar, M., 2015. "A dynamic model for infectious diseases: The role of vaccination and treatment," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 34-49.
    2. Amani S. Baazeem & Yasir Nawaz & Muhammad Shoaib Arif & Kamaleldin Abodayeh & Mae Ahmed AlHamrani, 2023. "Modelling Infectious Disease Dynamics: A Robust Computational Approach for Stochastic SIRS with Partial Immunity and an Incidence Rate," Mathematics, MDPI, vol. 11(23), pages 1-22, November.

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