Epidemiological models with varying population size and dose-dependent latent period.
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.
Liu
W M
WM
Department of Mathematical Sciences, Indiana University-Purdue University at Indianapolis, USA.
van den Driessche
P
P
D003141:Communicable Diseases / Q000453:epidemiology* / Q000503:physiopathology*; D004812:Epidemiologic Methods; D006801:Humans; D008962:Models, Theoretical; D011156:Population Density