A mathematical model of COVID-19 and the multi fears of the community during the epidemiological stage

Yousef A., Bozkurt Yousef F., Abdeljawad T., Imreizeeq E.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, vol.2022, no.114624, pp.1-25, 2022 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 2022 Issue: 114624
  • Publication Date: 2022
  • Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Page Numbers: pp.1-25
  • Erciyes University Affiliated: Yes

Abstract

Within two years, the world has experienced a pandemic phenomenon that changed almost

everything in the macro and micro-environment; the economy, the community's social life, education, and

many other fields. Governments started to collaborate with health institutions and the WHO to control the

pandemic spread, followed by many regulations such as wearing masks, maintaining social distance, and

home office work. While the virus has a high transmission rate and shows many mutated forms, another

discussion appeared in the community: the fear of getting infected and the side effects of the produced

vaccines. The community started to face uncertain information spread through some networks keeping the

discussions of side effects on-trend. However, this pollution spread confused the community more and

activated multi fears related to the virus and the vaccines.

This paper establishes a mathematical model of COVID-19, including the community's fear of

getting infected and the possible side effects of the vaccines. These fears appeared from uncertain

information spread through some social sources. Our primary target is to show the psychological effect on

the community during the pandemic stage. The theoretical study contains the existence and uniqueness of

the IVP and, after that, the local stability analysis of both equilibrium points, the disease-free and the

positive equilibrium point. Finally, we show the global asymptotic stability holds under specific conditions

using a suitable Lyapunov function. In the end, we conclude our theoretical findings with some

simulations