 1997 International Conference on Mathematical Models in Medical & Health Sciences
Announcement page
Other sessions on Epidemic Models: |
Saturday morning, May 31 Special Session on Epidemic Models Organizer: William Fitzgibbon (University of Houston) Index for this page:
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10:15-10:45 Fabio Milner
Department of Mathematics
Purdue University
A diffusion model for host-parasite dynamics
A deterministic model of host-parasite systems for possibly highly parasitized hosts will be described. The model consists of a system of ordinary and partial differential equations. The partial differential equation includes the parasite density as an independent variable. To allow for the non-uniform dynamics within cohorts, a diffusion term is added. Some theoretical results will be presented, as well as results from numerical simulations.
10:45-11:15 Jeff Morgan
Deparment of Mathematics
Texas A&M University
Analysis of Solutions to an Age Structured model for the Treatment
of AIDS
Coauthors: W.E. Fitzgibbon, D.E. Kirschner, J. Morgan, G.F. Webb
A recent paper of Kirscher and Webb numerically investigates a model for treatment the treatment of strategy in the chemotherapy of AIDS. Our current work represents an analytic study of this model, including well posedness, gobal existence and long term behavior.
11:15-11:45 Akira Yanagiya
Social Science Institute
Waseda University
Mathematical Models for Infectious Diseases with Age-dependent Arguments
This talk is concered with the analysis of the model of
infectious diseases with age-dependent arguments by the linear and
nonlinear integral equation method. The system of differential equations
will be reduced to the integral equation in this talk and we will analyze
the existence of solutions and qualitative behavior of solutions. I will
also present the results of numerical analysis.
11:45-12:15 William Fitzgibbon
Deparment of Mathematics
University of Houston
A Class of Diffusive Epidemic Models for Structured Populations With
Demography
We are concerned with the spatially dependent spread of viruses within animal populations and in particular our results are applied to model the spread of Feline Immunodeficiency Virus (FeLV) within the domestic cat population. Our models feature two structural age varibles which account for the age of an individual and the age of the disease within a given individual. The spatial spread is described by diffusion operators. Some elementary threshold analysis is provided.