Global threshold dynamics of an SVIR model with age-dependent infection and relapse.
A susceptible-vaccinated-infectious-recovered epidemic model with infection age and relapse age has been formulated. We first address the asymptotic smoothness of the solution semiflow, existence of a global attractor, and uniform persistence of the model. Then by constructing suitable Volterra-type Lyapunov functionals, we establish a global threshold dynamics of the model, which is determined by the basic reproduction number. Biologically, it is confirmed that neglecting the possibility of vaccinees getting infected will over-estimate the effect of vaccination strategies. The obtained results generalize some existing ones.
a School of Mathematical Science , Heilongjiang University , Harbin, People's Republic of China.
Jinliang
J
Wang
a School of Mathematical Science , Heilongjiang University , Harbin, People's Republic of China.
Jiying
J
Lang
b Department of Mathematics , Wilfrid Laurier University , Waterloo , ON , Canada.
Yuming
Y
Chen
D050936:Basic Reproduction Number; D003141:Communicable Diseases / Q000635:transmission*; D003198:Computer Simulation; D058872:Epidemics; D006801:Humans; D008954:Models, Biological; D012008:Recurrence; D014611:Vaccination
SVIR model; basic reproduction number; global stability; infection age; relapse age