Dynamics of fractional-order epidemic models with general nonlinear incidence rate and time-delay

Ardak Kashkynbayev, Fathalla A. Rihan

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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 languageEnglish
Article number1829
JournalMathematics
Volume9
Issue number15
DOIs
Publication statusPublished - Aug 1 2021

Keywords

  • Epidemic model
  • Fractional calculus
  • Global stability
  • Lyapunov functionals
  • Time-delay

ASJC Scopus subject areas

  • Mathematics(all)

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