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Improving Stability Conditions for Equilibria of SIR Epidemic Model with Delay under Stochastic Perturbations

Author

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  • Leonid Shaikhet

    (Department of Mathematics, Ariel University, Ariel 40700, Israel)

Abstract

So called SIR epidemic model with distributed delay and stochastic perturbations is considered. It is shown, that the known sufficient conditions of stability in probability of the equilibria of this model, formulated immediately in the terms of the system parameters, can be improved by virtue of the method of Lyapunov functionals construction and the method of Linear Matrix Inequalities (LMIs). It is also shown, that stability can be investigated immediately via numerical simulation of a solution of the considered model.

Suggested Citation

  • Leonid Shaikhet, 2020. "Improving Stability Conditions for Equilibria of SIR Epidemic Model with Delay under Stochastic Perturbations," Mathematics, MDPI, vol. 8(8), pages 1-13, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1302-:d:395311
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    Citations

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    Cited by:

    1. Sabbar, Yassine & Kiouach, Driss & Rajasekar, S.P. & El-idrissi, Salim El Azami, 2022. "The influence of quadratic Lévy noise on the dynamic of an SIC contagious illness model: New framework, critical comparison and an application to COVID-19 (SARS-CoV-2) case," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Yassine Sabbar & Mehmet Yavuz & Fatma Özköse, 2022. "Infection Eradication Criterion in a General Epidemic Model with Logistic Growth, Quarantine Strategy, Media Intrusion, and Quadratic Perturbation," Mathematics, MDPI, vol. 10(22), pages 1-16, November.

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