title: Epidemiological models with varying population size and dose-dependent latent period.
abstract: Two epidemiological models in a variable-size population are considered. Both have a dose-dependent latent period that depends on the proportion of infectious individuals in the population. In the SEIS model, the proportion of infectious individuals tends to either zero or a stable endemic value. In the SEIRS model, for diseases that confer temporary immunity, periodicity can arise by a Hopf bifurcation.
authors.affiliation: Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, USA.
authors.forename: W M
authors.initials: WM
authors.lastname: Liu
authors.forename: P
authors.initials: P
authors.lastname: van den Driessche
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology* / Q000503:physiopathology*; D004812:Epidemiologic Methods; D006801:Humans; D008962:Models, Theoretical; D011156:Population Density