Dynamics of fractional-order epidemic models with general nonlinear incidence rate and time-delay
Kashkynbayev A. Rihan F.A.
1 August 2021MDPI AG
Mathematics
2021#9Issue 15
In 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 results.
Epidemic model , Fractional calculus , Global stability , Lyapunov functionals , Time-delay
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Department of Mathematics, Nazarbayev University, Nur-Sultan, 010000, Kazakhstan
Department of Mathematical Sciences, College of Sciences, UAE University, Al Ain, 15551, United Arab Emirates
Department of Mathematics
Department of Mathematical Sciences
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