Diffusion epidemic models with incubation and crisscross dynamics.
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.
Fitzgibbon
W E
WE
Department of Mathematics, University of Houston, Texas, USA.
Parrott
M E
ME
Webb
G F
GF
D014355:Chagas Disease / Q000453:epidemiology / Q000635:transmission; D004812:Epidemiologic Methods; D006801:Humans; D008288:Malaria / Q000453:epidemiology / Q000635:transmission; D008962:Models, Theoretical; D011157:Population Dynamics