Treatment of Polio Delayed Epidemic Model via Computer Simulations

Muhammad Naveed; Dumitru Baleanu; Ali Raza; Muhammad Rafiq; Atif Soori

doi:10.32604/cmc.2022.020112

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ARTICLE

Treatment of Polio Delayed Epidemic Model via Computer Simulations

Muhammad Naveed^1,*, Dumitru Baleanu^2,3, Ali Raza⁴, Muhammad Rafiq⁵, Atif Hassan Soori¹
1 Department of Mathematics, Air University Islamabad, Pakistan
2 Department of Mathematics, Cankaya University, 06530, Balgat, Ankara, Turkey
3 Department of Medical Research, China Medical University, Taichung, 40402, Taiwan
4 Department of Mathematics, National College of Business Administration and Economics Lahore, Pakistan
5 Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, Pakistan
* Corresponding Author: Muhammad Naveed. Email:
(This article belongs to this Special Issue: Pervasive Computing and Communication: Challenges, Technologies & Opportunities)

Computers, Materials & Continua 2022, 70(2), 3415-3431. https://doi.org/10.32604/cmc.2022.020112

Received 10 May 2021; Accepted 27 June 2021; Issue published 27 September 2021

Abstract

Through the study, the nonlinear delayed modelling has vital significance in the different field of allied sciences like computational biology, computational chemistry, computational physics, computational economics and many more. Polio is a contagious viral illness that in its most severe form causes nerve injury leading to paralysis, difficulty breathing and sometimes death. In recent years, developing regions like Asia, Africa and sub-continents facing a dreadful situation of poliovirus. That is the reason we focus on the treatment of the polio epidemic model with different delay strategies in this article. Polio delayed epidemic model is categorized into four compartments like susceptible, exposed, infective and vaccinated classes. The equilibria, positivity, boundedness, and reproduction number are investigated. Also, the sensitivity of the parameters is analyzed. Well, known results like the Routh Hurwitz criterion and Lyapunov function stabilities are investigated for polio delayed epidemic model in the sense of local and global respectively. Furthermore, the computer simulations are presented with different traditions in the support of the analytical analysis of the polio delayed epidemic model.

Keywords

Polio disease; delayed model; stability analysis; computer simulations

Cite This Article

M. Naveed, D. Baleanu, A. Raza, M. Rafiq and A. Hassan Soori, "Treatment of polio delayed epidemic model via computer simulations," Computers, Materials & Continua, vol. 70, no.2, pp. 3415–3431, 2022.

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