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Dynamical analysis of a fractional SIRS model on homogenous networks
Journal article   Open access  Peer reviewed

Dynamical analysis of a fractional SIRS model on homogenous networks

H. A. A. El-Saka, A. A. M. Arafa and M. I. Gouda
Advances in difference equations, Vol.2019(1), pp.1-15
18/04/2019
DOI: https://doi.org/10.1186/s13662-019-2079-3

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we propose a fractional SIRS model with homogenous networks. The disease-free equilibrium point E0 is locally and globally asymptotically stable for R0<1 (the disease always disappears), and endemic equilibrium point E1 is uniquely locally and globally asymptotically stable, but E0 is unstable for R0>1 (the disease is uniformly persistent). The main results are demonstrated by numerical simulation.
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https://doi.org/10.1186/s13662-019-2079-3View
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