On fractional SIRC model with salmonella bacterial infection

Fathalla A. Rihan, Dumitru Baleanu, S. Lakshmanan, R. Rakkiyappan

Research output: Contribution to journalArticlepeer-review

52 Citations (Scopus)

Abstract

We propose a fractional order SIRC epidemic model to describe the dynamics of Salmonella bacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions. The basic reproduction number 0 is calculated, using next-generation matrix method, in terms of contact rate, recovery rate, and other parameters in the model. The numerical simulations of the fractional order SIRC model are performed by Caputo's derivative and using unconditionally stable implicit scheme. The obtained results give insight to the modelers and infectious disease specialists.

Original languageEnglish
Article number136263
JournalAbstract and Applied Analysis
Volume2014
DOIs
Publication statusPublished - 2014

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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