Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation | Zendy

Xiaoming Fan | Zendy; Zhigang Wang | Zendy; Xuelian Xu | Zendy

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Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation

Author(s) -

Xiaoming Fan,

Zhigang Wang,

Xuelian Xu

Publication year - 2012

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 - 10.1155/2012/132095

Subject(s) - mathematics , perturbation (astronomy) , lyapunov function , stability theory , stability (learning theory) , epidemic model , statistical physics , computer science , physics , nonlinear system , demography , population , quantum mechanics , machine learning , sociology

We discuss a two-group SEIR epidemic model with distributed delays, incorporating random fluctuation around the endemic equilibrium. Our research shows that the endemic equilibrium of the model with distributed delays and random perturbation is stochastically asymptotically stable in the large. In addition, a sufficient stability condition is obtained by constructing suitable Lyapunov function

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