THE IMPACT OF DELAY STRATEGIES ON THE DYNAMICS OF CORONAVIRUS PANDEMIC MODEL WITH NONLINEAR INCIDENCE RATE

Ali Raza, Ali Ahmadian, Muhammad Rafiq, Mei Choo Ang, Soheil Salahshour and Morteza Pakdaman
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Ali Raza: Department of Mathematics, Government of Maulana Zafar Ali Khan Graduate College Wazirabad, Punjab Higher Education Department (PHED), Lahore, Pakistan†Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan
Ali Ahmadian: ��Institute of IR 4.0, The National University of Malaysia, 43600 UKM, Bangi, Selangor Malaysia§Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey
Muhammad Rafiq: �Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, Pakistan
Mei Choo Ang: ��Institute of IR 4.0, The National University of Malaysia, 43600 UKM, Bangi, Selangor Malaysia
Soheil Salahshour: ��Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
Morteza Pakdaman: *Climatological Research Institute, Mashhad, Iran

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-13

Abstract: Currently, the world is facing a devastating pandemic of a novel coronavirus, which started as an outbreak of pneumonia of unknown cause in Wuhan city of China in December of 2019. According to the recent report of the World Health Organization (WHO), 210 countries convicted badly 1.8 million infections and almost 200,000 causalities. Due to the non-availability of the vaccination, delay strategies such as community distancing, travel restrictions, extension in breaks, use of face-mask, and self-quarantine are the effective treatments to control the pandemic of coronavirus. So, we proposed the delayed susceptible-exposed-infected-recovered model with a nonlinear incidence rate to study the effective role of control strategies. For this analysis, we discussed three types of equilibria of the model such as trivial, coronavirus free, and coronavirus existence with delay terms. The local and global stabilities are investigated by using well-posed notations like the Lasalle invariance principle, Routh–Hurwitz criterion, and Lyapunov function. In the end, some useful replications are presented.

Keywords: Coronavirus Delayed Model; Reproduction Dynamics; Stability; Simulations (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401211

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