Dynamics of a discretized SIR epidemic model with distributed delay and generalized saturation incidence

Ruixia Yuan, Shujing Gao, Yang Liu

Abstract


In this paper, a discrete SIR epidemic model is proposed, which distributed delay, generalized saturating incidence rate and disease-induced mortality are taken into consideration. This model is constructed from the discretization by the hybrid Euler method. The conditions for global asymptotical stability of the disease-free equilibrium and the permanence of our model are obtained. Finally, a numerical study is performed to illustrate the mathematical findings.

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Published: 2016-01-14

How to Cite this Article:

Ruixia Yuan, Shujing Gao, Yang Liu, Dynamics of a discretized SIR epidemic model with distributed delay and generalized saturation incidence, Communications in Mathematical Biology and Neuroscience, Vol 2016 (2016), Article ID 2

Copyright © 2016 Ruixia Yuan, Shujing Gao, Yang Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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