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Media type:
E-Article
Title:
Dynamics of a Nonautonomous Stochastic SIS Epidemic Model with Double Epidemic Hypothesis
Contributor:
Qi, Haokun;
Liu, Lidan;
Meng, Xinzhu
Published:
Hindawi Limited, 2017
Published in:
Complexity, 2017 (2017), Seite 1-14
Language:
English
DOI:
10.1155/2017/4861391
ISSN:
1076-2787;
1099-0526
Origination:
Footnote:
Description:
We investigate the dynamics of a nonautonomous stochastic SIS epidemic model with nonlinear incidence rate and double epidemic hypothesis. By constructing suitable stochastic Lyapunov functions and using Has’minskii theory, we prove that there exists at least one nontrivial positive periodic solution of the system. Moreover, the sufficient conditions for extinction of the disease are obtained by using the theory of nonautonomous stochastic differential equations. Finally, numerical simulations are utilized to illustrate our theoretical analysis.