Dynamics of a Nonautonomous Stochastic SIS Epidemic Model with Double Epidemic Hypothesis

被引：62
|
作者：
Qi, Haokun [1 ]
Liu, Lidan [1 ]
Meng, Xinzhu [1 ,2 ,3 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266590, Peoples R China
[3] Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao 266590, Peoples R China
来源：
COMPLEXITY | 2017年
基金：
中国国家自然科学基金;
关键词：
NONTRIVIAL PERIODIC-SOLUTION; DIFFERENTIAL-EQUATIONS; GLOBAL DYNAMICS; VACCINATION; POPULATION; PREY; STABILITY; BEHAVIOR; SYSTEM;
D O I：
10.1155/2017/4861391
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页数：14
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