DETERMINISTIC AND STOCHASTIC ANALYSIS OF A COVID-19 SPREAD MODEL

Anwar Zeb (), Abdon Atangana and Zareen A. Khan
Additional contact information
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

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-17

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.

Keywords: COVID-19 Mathematical Model; Quarantine Class; Vaccination; Stability; Stochastic Model; Extinction; Newton Polynomial Scheme (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22401636
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401636

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22401636

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().