Qualitative analysis of delayed SIR epidemic model with a saturated incidence rate

Fathalla A. Rihan, M. Naim Anwar

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

We consider a delayed SIR epidemic model in which the susceptibles are assumed to satisfy the logistic equation and the incidence term is of saturated form with the susceptible. We investigate the qualitative behaviour of the model and find the conditions that guarantee the asymptotic stability of corresponding steady states. We present the conditions in the time lag τ in which the DDE model is stable. Hopf bifurcation analysis is also addressed. Numerical simulations are provided in order to illustrate the theoretical results and gain further insight into the behaviour of this system.

Original languageEnglish
Article number408637
JournalInternational Journal of Differential Equations
Volume2012
DOIs
Publication statusPublished - 2012

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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