Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis
type: Item
instance of: scholarly article
title: Dynamics of a nonautonomous stochastic SIS epidemic model with double epidemic hypothesis
zbMATH Open document ID: 1377.93152
DOI: 10.1155/2017/4861391
author: Haokun Qi
author: Lidan Liu
author: Xinzhu Meng
published in: Complexity
publication date: 2018-01-03T00:00:00Z
review text: Summary: 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, 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.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 6821583
zbMATH Keywords: nonautonomous stochastic SIS epidemic model
zbMATH Keywords: nonlinear incidence rate
zbMATH Keywords: double epidemic hypothesis
zbMATH Keywords: stochastic Lyapunov functions
zbMATH Keywords: Has'minskii theory
zbMATH Keywords: nonautonomous stochastic differential equations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4861391
OpenAlex ID: W2767477371
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description: scientific article; zbMATH DE number 6821583