Global stability of an SVIR model with age of vaccination

作者：Duan, Xichao; Yuan, Sanling^*; Li, Xuezhi

来源：Applied Mathematics and Computation, 2014, 226: 528-540.

DOI：10.1016/j.amc.2013.10.073

• SIVR model
• Age of vaccination
• Global stability
• LaSalle's invariance principle
• Lyapunov functional

Vaccination is important for the elimination of infectious diseases. In this paper, a basic SVIR epidemic model with age of vaccination is considered. The model allows the vaccinated individuals to become susceptible again when vaccine loses its protective properties with time. The vaccination classes satisfy partial differential equations for the vaccination age. By means of LaSalle's invariance principle and constructing suitable Lyapunov al)s, the dynamical property of the model is established. It is shown that the global stability results of the infection-free equilibrium and the endemic equilibrium depend only on the basic reproductive number R-0(psi). Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the vaccination rate and the age factor on the dynamics of file disease are displayed.

• 出版日期2014-1-1
• 单位上海理工大学; 信阳师范学院