On Fractional SIRC Model withSalmonellaBacterial Infection

Abstract

We propose a fractional order SIRC epidemic model to describe the dynamics ofSalmonellabacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions. The basic reproduction numberℛ0is 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.