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An effective transport-related SVIR stochastic epidemic model with media coverage and Lévy noise

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  • Alkhazzan, Abdulwasea
  • Wang, Jungang
  • Nie, Yufeng
  • Khan, Hasib
  • Alzabut, Jehad

Abstract

Effective disease control measures are necessary because epidemics have a serious threat to public health. To address this, we propose a novel SVIR epidemic model that highlights the impact of transport-related infection and media coverage, with the inclusion of Lévy noise. With the help of Lyapunov functions and stopping time, we investigate the existence of a positive global solution for the new model. We also derive sufficient conditions for disease extinction as well as persistence. For the validation of our theoretical findings, we develop a numerical scheme to analyze the influence of various parameters on the model’s dynamics. Our findings provide important insight into the science of epidemiology and provide a groundwork for better methods of preventing the spread of disease.

Suggested Citation

  • Alkhazzan, Abdulwasea & Wang, Jungang & Nie, Yufeng & Khan, Hasib & Alzabut, Jehad, 2023. "An effective transport-related SVIR stochastic epidemic model with media coverage and Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p1:s0960077923008548
    DOI: 10.1016/j.chaos.2023.113953
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    References listed on IDEAS

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