title: Diffusion epidemic models with incubation and crisscross dynamics.
abstract: A diffusion age-structured epidemic model is analyzed. The model describes an epidemic in a host-vector two-population system. Each population is diffusing in a spatial region. Each population is divided into susceptible, incubating, and infectious subclasses. The incubating and infectious subclasses in each population are determined by a structure variable corresponding to age since infection. The model consists of a system of nonlinear partial differential equations with crisscross dynamics. The existence, uniqueness, and asymptotic behavior of solutions are analyzed.
authors.affiliation: Department of Mathematics, University of Houston, Texas, USA.
authors.forename: W E
authors.initials: WE
authors.lastname: Fitzgibbon
authors.forename: M E
authors.initials: ME
authors.lastname: Parrott
authors.forename: G F
authors.initials: GF
authors.lastname: Webb
mesh_terms: D014355:Chagas Disease / Q000453:epidemiology / Q000635:transmission; D004812:Epidemiologic Methods; D006801:Humans; D008288:Malaria / Q000453:epidemiology / Q000635:transmission; D008962:Models, Theoretical; D011157:Population Dynamics