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Stationary distribution of a double epidemic stochastic model driven by saturated incidence rates

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  • Selvan, T. Tamil
  • Kumar, M.

Abstract

The double epidemic study is one of the critical studies in recent times as humankind experiences various simultaneous spreads of diseases. Reproduction numbers are important, which helps to derive sufficient conditions for extinction, persistence and co-persistence of diseases. This work aims to establish the stationary distribution of a stochastic double epidemic model comprised of SIR and SIRS transmission hypothesis through saturated incidence rate, with the aid of Markov semigroup theory. By constructing a suitable Lyapunov functional, the required result is sufficient by conditions on reproduction numbers.

Suggested Citation

  • Selvan, T. Tamil & Kumar, M., 2024. "Stationary distribution of a double epidemic stochastic model driven by saturated incidence rates," Applied Mathematics and Computation, Elsevier, vol. 474(C).
    • Handle: RePEc:eee:apmaco:v:474:y:2024:i:c:s0096300324001693
    DOI: 10.1016/j.amc.2024.128697
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    References listed on IDEAS

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    1. El Fatini, Mohamed & El Khalifi, Mohamed & Gerlach, Richard & Laaribi, Aziz & Taki, Regragui, 2019. "Stationary distribution and threshold dynamics of a stochastic SIRS model with a general incidence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Boukanjime, Brahim & El Fatini, Mohamed & Laaribi, Aziz & Taki, Regragui, 2019. "Analysis of a deterministic and a stochastic epidemic model with two distinct epidemics hypothesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    3. Amine El Koufi & Jihad Adnani & Abdelkrim Bennar & Noura Yousfi, 2019. "Analysis of a Stochastic SIR Model with Vaccination and Nonlinear Incidence Rate," International Journal of Differential Equations, Hindawi, vol. 2019, pages 1-9, August.
    4. Selvan, T. Tamil & Kumar, M., 2023. "Dynamics of a deterministic and a stochastic epidemic model combined with two distinct transmission mechanisms and saturated incidence rate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 619(C).
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