A Novel Nonlinear Dynamic Model Describing the Spread of Virus-Reference-Cited by-同舟云学术

A Novel Nonlinear Dynamic Model Describing the Spread of Virus

Published:2023-10-10 Issue:20 Volume:11 Page:4226
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Shakhmurov Veli B.¹²^ORCID,Kurulay Muhammet³^ORCID,Sahmurova Aida⁴,Gursesli Mustafa Can⁵⁶^ORCID,Lanata Antonio⁵^ORCID

Affiliation:

1. Department of Industrial Engineering, Antalya Bilim University, Ciplakli Mahallesi Farabi Caddesi 23 Dosemealti, 07190 Antalya, Turkey

2. Center of Analytical-Information Resource, Azerbaijan State Economic University, 194 M. Mukhtarov, AZ1001 Baku, Azerbaijan

3. Department of Mathematics Engineering, Yildiz Technical University, 34225 Istanbul, Turkey

4. Department of Nursing, Antalya Bilim University, Ciplakli Mahallesi Farabi Caddesi 23 Dosemealti, 07190 Antalya, Turkey

5. Department of Information Engineering, University of Florence, Via Santa Marta 3, 50139 Florence, Italy

6. Department of Education, Literatures, Intercultural Studies, Languages and Psychology, University of Florence, 50135 Florence, Italy

Abstract

This study proposes a nonlinear mathematical model of virus transmission. The interaction between viruses and immune cells is investigated using phase-space analysis. Specifically, the work focuses on the dynamics and stability behavior of the mathematical model of a virus spread in a population and its interaction with human immune system cells. The endemic equilibrium points are found, and local stability analysis of all equilibria points of the related model is obtained. Further, the global stability analysis, either at disease-free equilibria or in endemic equilibria, is discussed by constructing the Lyapunov function, which shows the validity of the concern model. Finally, a simulated solution is achieved, and the relationship between viruses and immune cells is highlighted.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/20/4226/pdf

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