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Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching

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  • A. El Koufi
  • N. Seshagiri Rao

Abstract

In this paper, we consider a stochastic epidemic model under regime‐switching. We show that our model is well‐posed by proving the existence of solution, positivity, and uniqueness. Furthermore, we investigate sufficient conditions for the existence of ergodic stationary distribution to the model, which shows that the hepatitis B epidemic will persist. In addition, we establish sufficient conditions for the extinction of the hepatitis B epidemic. We perform numerical simulations to confirm and illustrate the theoretical results.

Suggested Citation

  • A. El Koufi & N. Seshagiri Rao, 2022. "Stochastic Hybrid Hepatitis B Epidemic Model with Markovian Switching," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:2347414
    DOI: 10.1155/2022/2347414
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    References listed on IDEAS

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    1. Khan, Tahir & Khan, Amir & Zaman, Gul, 2018. "The extinction and persistence of the stochastic hepatitis B epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 123-128.
    2. Srivastava, H.M. & Saad, Khaled M. & Khader, M.M., 2020. "An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
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