A SIRS Epidemic Model Incorporating Media Coverage with Random Perturbation | Zendy

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A SIRS Epidemic Model Incorporating Media Coverage with Random Perturbation

Author(s) -

Wenbin Liu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/792308

Subject(s) - mathematics , epidemic model , perturbation (astronomy) , stability (learning theory) , stochastic modelling , stability theory , statistical physics , mathematical optimization , mathematical economics , computer science , statistics , physics , nonlinear system , population , demography , quantum mechanics , machine learning , sociology

We investigate the complex dynamics of a SIRS epidemic model incorporating media coverage with random perturbation. We first deal with the boundedness and the stability of the disease—free and endemic equilibria of the deterministic model. And for the corresponding stochastic epidemic model, we prove that the endemic equilibrium of the stochastic model is asymptotically stable in the large. Furthermore, we perform some numerical examples to validate the analytical finding, and find that if the conditions of stochastic stability are not satisfied, the solution for the stochastic model will oscillate strongly around the endemic equilibrium

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