Abstract
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.
Original language | English |
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Article number | 1829 |
Journal | Mathematics |
Volume | 9 |
Issue number | 15 |
DOIs | |
Publication status | Published - Aug 1 2021 |
Keywords
- Epidemic model
- Fractional calculus
- Global stability
- Lyapunov functionals
- Time-delay
ASJC Scopus subject areas
- General Mathematics