A diffusive system with age dependency modeling fiv

DOI10.1016/0362-546X(95)00092-AzbMath0836.92019MaRDI QIDQ4863548

Michel Langlais, Glenn F. Webb, Mary E. Parrott, William Edward Fitzgibbon

Publication date: 2 May 1996

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

long-time behaviorsexually transmitted diseasessemilinear systemdeterministic modelspread of HIVFickian diffusionage dependencefeline immunodeficiency virusgeographic spreadFIVage of diseasecriss-cross kineticsrates of transmissionSIR epidemiological kinetics

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order parabolic systems (35K45) Medical epidemiology (92C60) Asymptotic theory for ordinary differential equations (34E99)

Related Items (11)

Threshold dynamics of a time periodic and two-group epidemic model with distributed delay ⋮ Traveling wave solutions in a two-group SIR epidemic model with constant recruitment ⋮ Travelling wave solutions in multigroup age-structured epidemic models ⋮ Periodic behavior in a FIV model with seasonality as well as environment fluctuations ⋮ Traveling wave solutions in a two-group epidemic model with latent period ⋮ The work of Glenn F. Webb ⋮ Global and local asymptotic stability of an epidemic reaction‐diffusion model with a nonlinear incidence ⋮ A mathematical analysis for a diffusive epidemic model with criss-cross dynamics ⋮ Non-monotone waves of a stage-structured SLIRM epidemic model with latent period ⋮ Convergence rates for a reaction-diffusion system ⋮ On the solvability of some models of migrating populations.

Cites Work

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• On a result of K. Masuda concerning reaction-diffusion equations
• An age-dependent epidemic model with spatial diffusion
• An application of the invariance principle to reaction diffusion equations
• A diffusive epidemic model with criss-cross dynamics
• Diffusive epidemic models with spatial and age dependent heterogeneity
• Modelling the Feline Leukemia Virus (FeLV) in natural populations of cats (Felis catus)
• Diffusion epidemic models with incubation and crisscross dynamics

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