title: Dose-dependent latent period and periodicity of infectious diseases.
abstract: This paper presents a theoretical analysis of an SEIRS epidemiological model. It shows that nonlinearity due to a dose-dependent latent period can cause periodicity through a Hopf bifurcation.
authors.affiliation: Department of Mathematical Sciences, Indiana University, Purdue University at Indianapolis 46205-2810.
authors.forename: W M
authors.initials: WM
authors.lastname: Liu
mesh_terms: D003141:Communicable Diseases / Q000453:epidemiology* / Q000503:physiopathology*; D006801:Humans; D008433:Mathematics; D015233:Models, Statistical; D013997:Time Factors