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The Analysis of an SIRS Epidemic Model with Discrete Delay on Scale-Free Network

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DOI: 10.4236/am.2015.611171    2,719 Downloads   3,124 Views   Citations

ABSTRACT

A new epidemic SIRS model with discrete delay on scale-free network is presented. We give the formula of the basic reproductive number for the model and prove that the disease dies out when the basic reproductive number is less than unity, while the disease is uniformly persistent when the basic reproductive number is more than unity. Numerical simulations are given to demonstrate the main results.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Li, T. , Liu, Q. and Li, B. (2015) The Analysis of an SIRS Epidemic Model with Discrete Delay on Scale-Free Network. Applied Mathematics, 6, 1939-1946. doi: 10.4236/am.2015.611171.

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