Abstract
AbstractIn this paper, we consider a fractional COVID-19 epidemic model with a convex incidence rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account. We establish the equilibrium points, basic reproduction number, and local stability at both the equilibrium points. The existence and uniqueness of the solution are proved by using Banach and Leray–Schauder alternative type theorems. For the fractional numerical simulations, we use the Toufik–Atangana scheme. Optimal control analysis is carried out to minimize the infection and maximize the susceptible people.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference38 articles.
1. Waris, A., Khan, A.U., Ali, M., Ali, A., Baset, A.: COVID-19 outbreak: current scenario of Pakistan. New Microbes New Infect. 35, 100681 (2020)
2. Wang, J., Zhang, J., Liu, X.: Modelling diseases with relapse and nonlinear incidence of infection: a multi group epidemic model. J. Biol. Dyn. 8, 99–116 (2014)
3. Wang, J., Zhang, R., Kuniya, T.: The stability anaylsis of an SVEIR model with continuous age-structure in the exposed and infection classes. J. Biol. Dyn. 9, 73–101 (2015)
4. Castillo-Chavez, C., Blower, S., van den Driessche, P., Kirschner, D., Yakubu, A.-A. (eds.): Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction, vol. 1. Springer, Berlin (2002)
5. Zhao, S., Xu, Z., Lu, Y.: A mathematical model of hepatitis B virus transmission and its application for vaccination strategy in China. Int. J. Epidemiol. 29, 744–752 (2000)
Cited by
31 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献