title: Global analysis on a class of multi-group SEIR model with latency and relapse.
abstract: In this paper, we investigate the global dynamics of a multi-group SEIR epidemic model, allowing heterogeneity of the host population, delay in latency and delay due to relapse distribution for the human population. Our results indicate that when certain restrictions on nonlinear growth rate and incidence are fulfilled, the basic reproduction number R0 plays the key role of a global threshold parameter in the sense that the long-time behaviors of the model depend only on R0. The proofs of the main results utilize the persistence theory in dynamical systems, Lyapunov functionals guided by graph-theoretical approach.
authors.affiliation: School of Mathematical Science, Heilongjiang University, Harbin 150080, China. email:jinliangwang@hlju.edu.cn.
authors.forename: Jinliang
authors.initials: J
authors.lastname: Wang
authors.forename: Hongying
authors.initials: H
authors.lastname: Shu
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission*; D003198:Computer Simulation; D004198:Disease Susceptibility / Q000453:epidemiology*; D006801:Humans; D000067562:Late Onset Disorders / Q000453:epidemiology*; D015233:Models, Statistical; D015995:Prevalence; D012008:Recurrence; D018570:Risk Assessment / Q000379:methods*