Stability of SIRS Epidemic Model with Stochastic Perturbation and Distributed Delays release_kuwvqgsc3fghnorm3a4ecfb7ya

by Ramziya Rifhat, Xamxinur Abdurahman, Ahmadjan Muhammadhaji

Published in ISRN Applied Mathematics by Hindawi Limited.

2013   Volume 2013, p1-6

Abstract

A class of SIRS epidemic model with stochastic perturbation and distributed delays is proposed and discussed. Some sufficient conditions on the stability of the zero solution are established. Finally, concluding that, the white noise is favorable for the stability of zero solution and the distributed time delays have no impact on the stability of zero solution.
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