Author:
Rezapour Shahram,Mohammadi Hakimeh,Samei Mohammad Esmael
Abstract
AbstractWe provide a SEIR epidemic model for the spread of COVID-19 using the Caputo fractional derivative. The feasibility region of the system and equilibrium points are calculated and the stability of the equilibrium points is investigated. We prove the existence of a unique solution for the model by using fixed point theory. Using the fractional Euler method, we get an approximate solution to the model. To predict the transmission of COVID-19 in Iran and in the world, we provide a numerical simulation based on real data.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Reference46 articles.
1. Haq, F., Shah, K., Rahman, G., Shahzad, M.: Numerical analysis of fractional order model of HIV-1 infection of CD4+ T-cells. Comput. Methods Differ. Equ. 5(1), 1–11 (2017)
2. Koca, I.: Analysis of rubella disease model with non-local and non-singular fractional derivatives. Int. J. Optim. Control Theor. Appl. 8(1), 17–25 (2018)
3. Rida, S.Z., Arafa, A.A.M., Gaber, Y.A.: Solution of the fractional epidemic model by l-adm. J. Fract. Calc. Appl. 7(1), 189–195 (2016)
4. Singh, H., Dhar, J., Bhatti, H.S., Chandok, S.: An epidemic model of childhood disease dynamics with maturation delay and latent period of infection. Model. Earth Syst. Environ. 2, 79 (2016)
5. Tchuenche, J.M., Dube, N., Bhunu, C.P., Smith, R.J., Bauch, C.T.: The impact of media coverage on the transmission dynamics of human influenza. BMC Public Health 11, 1–5 (2011)
Cited by
104 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