Kashkynbayev, ArdakRihan, Fathalla A.2022-11-212022-11-212021-08-03Kashkynbayev, A., & Rihan, F. A. (2021). Dynamics of Fractional-Order Epidemic Models with General Nonlinear Incidence Rate and Time-Delay. Mathematics, 9(15), 1829. https://doi.org/10.3390/math9151829http://nur.nu.edu.kz/handle/123456789/6819In this paper, we study the dynamics of a fractional-order epidemic model with general nonlinear incidence rate functionals and time-delay. We investigate the local and global stability of the steady-states. We deduce the basic reproductive threshold parameter, so that if R0 < 1, the disease-free steady-state is locally and globally asymptotically stable. However, for R0 > 1, there exists a positive (endemic) steady-state which is locally and globally asymptotically stable. A Holling type III response function is considered in the numerical simulations to illustrate the effectiveness of the theoretical resultsenAttribution-NonCommercial-ShareAlike 3.0 United StatesType of access: Open Accessepidemic modelfractional calculusglobal stabilitylyapunov functionalstime-delayArticle