Eur. Phys. J. Spec. Top. (2022) 231: 885-891
https://doi.org/10.1140/epjs/s11734-021-00309-4

Regular Article

Complex behavior of COVID-19’s mathematical model

¹ Shaanxi International Joint Research Center for Applied Technology of Controllable Neutron Source, School of Science, Xijing University, 710123, Xi’an, People’s Republic of China
² Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia
³ Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

^d phamvietthanh@tdtu.edu.vn

Received: 28 January 2021
Accepted: 25 October 2021
Published online: 17 November 2021

Abstract

It is almost more than a year that earth has faced a severe worldwide problem called COVID-19. In December 2019, the origin of the epidemic was found in China. After that, this contagious virus was reported almost all over the world with different variants. Besides all the healthcare system attempts, quarantine, and vaccination, it is needed to study the dynamical behavior of this disease specifically. One of the practical tools that may help scientists analyze the dynamical behavior of epidemic disease is mathematical models. Accordingly, here, a novel mathematical system is introduced. Also, the complex behavior of this model is investigated considering different dynamical analyses. The results represent that some range of parameters may lead the model to chaotic behavior. Moreover, comparing the two same bifurcation diagrams with different initial conditions reveals that the model has multi-stability.