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Deterministic And Stochastic Analysis Of A Covid-19 Spread Model

Author

Listed:
  • ANWAR ZEB

    (Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad 22060, Pakistan)

  • ABDON ATANGANA

    (Faculty of Natural and Agricultural Sciences, University of the Free State, Bloemfontein, South Africa3Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan)

  • ZAREEN A. KHAN

    (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia)

Abstract

This paper deals with the global dynamics of deterministic-stochastic COVID-19 mathematical model with quarantine class and incorporating a preventive vaccination. Lyapunov functions are utilized for the global stability of disease free equilibrium point and the graph theoretic method is used for the construction of Lyapunov function for positive equilibrium point. The stability of model is discussed regarding the reproductive number. Utilizing the non-standard finite difference scheme for the numerical solution of the deterministic model, the obtained results are shown graphically. Further, environmental noises are added to the model for description of stochastic model. Then we take out the existence and uniqueness of positive solution with extinction for infection. Finally, we solve numerically the stochastic model using Newton Polynomial scheme and present the results graphically.

Suggested Citation

  • Anwar Zeb & Abdon Atangana & Zareen A. Khan, 2022. "Deterministic And Stochastic Analysis Of A Covid-19 Spread Model," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-17, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401636
    DOI: 10.1142/S0218348X22401636
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