
Home

Network Biology, 2022, 12(3): 120-132
[XML] [EndNote] [RefManager] [BibTex] [

Full PDF (1521K)] [Comment/Review Article]

Article

Impact of periodicity and stochastic impact on COVID-19 pandemic: A mathematical model

Kalyan Das¹, Ranjith Kumar², Prasenjit Das³
¹Department of Basic and Applied Sciences, National Institute of Food Technology, Entrepreneurship and Management, HSIIDC Industrial Estate, Kundli, Haryana, India
²Anurag University, Hyderabad, Telangana, India
³Srichanda M.N.M. Institution, South 24 Parganas-743375, India

Received 11 May 2022;Accepted 15 June 2022;;Published online 20 July 2022;Published 1 September 2022
IAEES

Abstract
We analyzed the features of the COVID-19 outbreak with temporal delay and stochastic influence using the SIRS epidemic model in this study. We investigate the local stability of each equilibrium point in terms of basic reproduction numbers. Hopf bifurcation is detected in the system, and a time delay is inserted in the transmission terms to represent the virus's incubation period. The spread of the novel COVID-19 strain to humans is influenced by environmental conditions such as mugginess, precipitation, and temperature. To explore the impact of environmental oscillations on the coronavirus, we employ white noise perturbations in the system. Finally, we examine the mathematical reenactments using MATLAB.

Keywords COVID-19;stability;Hopf-bifurcation;stochasticity;white noise.

International Academy of Ecology and Environmental Sciences. E-mail: office@iaees.org
Copyright © 2009-2024 International Academy of Ecology and Environmental Sciences. All rights reserved.
Web administrator: office@iaees.org, website@iaees.org; Last modified: 2024/4/20

Translate page to: