Stability of SIRS Epidemic Model with Stochastic Perturbation and Distributed Delays | Zendy

Ramziya Rifhat | Zendy; Xamxinur Abdurahman | Zendy; Ahmadjan Muhammadhaji | Zendy

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Stability of SIRS Epidemic Model with Stochastic Perturbation and Distributed Delays

Author(s) -

Ramziya Rifhat,

Xamxinur Abdurahman,

Ahmadjan Muhammadhaji

Publication year - 2013

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.1155/2013/606431

Subject(s) - perturbation (astronomy) , stability (learning theory) , white noise , zero (linguistics) , control theory (sociology) , epidemic model , mathematics , computer science , physics , statistics , control (management) , artificial intelligence , medicine , population , linguistics , philosophy , quantum mechanics , machine learning , environmental health

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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