Analysis of an SVEIR model with age-dependence vaccination, latency and relapse
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Authors
Jinliang Wang
- School of Mathematical Science, Heilongjiang University, Harbin 150080, China.
Xiu Dong
- School of Mathematical Science, Heilongjiang University, Harbin 150080, China.
Hongquan Sun
- School of Mathematical Science, Heilongjiang University, Harbin 150080, China.
Abstract
In this paper, we propose an epidemic model with age-dependence vaccination, latency and relapse. We derive the positivity
and boundedness of solutions and find the basic reproduction number. Asymptotic smoothness, the existence of global compact
attractor and uniform persistence of the model are investigated. By constructing Lyapunov functionals, we establish global
stability of the equilibria in a threshold type.
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ISRP Style
Jinliang Wang, Xiu Dong, Hongquan Sun, Analysis of an SVEIR model with age-dependence vaccination, latency and relapse, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3755--3776
AMA Style
Wang Jinliang, Dong Xiu, Sun Hongquan, Analysis of an SVEIR model with age-dependence vaccination, latency and relapse. J. Nonlinear Sci. Appl. (2017); 10(7):3755--3776
Chicago/Turabian Style
Wang, Jinliang, Dong, Xiu, Sun, Hongquan. "Analysis of an SVEIR model with age-dependence vaccination, latency and relapse." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3755--3776
Keywords
- Vaccination age
- latency age
- relapse age
- global stability
- Lyapunov function.
MSC
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