Stability of SIRS Epidemic Model with Stochastic Perturbation and Distributed Delays

Ramziya Rifhat, Xamxinur Abdurahman, Ahmadjan Muhammadhaji
2013 ISRN Applied Mathematics  
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.
doi:10.1155/2013/606431 fatcat:kuwvqgsc3fghnorm3a4ecfb7ya