2 citations · 2 across the 2 of their papers we have counts for
5 papers
Reaction-Diffusion-Advection Systems with Discontinuous Diffusion and Mass Control
William E Fitzgibbon, Jeff Morgan, Bao Quoc Tang +1
In this paper, we study unique, globally defined uniformly bounded weak solutions for a class of semilinear reaction-diffusion-advection systems. The coefficients of the differenti…
Spatial Models of Vector-Host Epidemics with Directed Movement of Vectors Over Long Distances
W. E. Fitzgibbon, J. J. Morgan, Glenn F. Webb +1
We investigate a time-dependent spatial vector-host epidemic model with non-coincident domains for the vector and host populations. The host population resides in small non-overlap…
Analysis of a Reaction Diffusion Model for a Reservoir Supported Spread of Infectious Disease
W. E. Fitzgibbon, J. J. Morgan
Motivated by recent outbreaks of the Ebola Virus, we are concerned with the role that a vector reservoir plays in supporting the spatio-temporal spread of a highly lethal disease t…
A Vector-Host Epidemic Model with Spatial Structure and Age of Infection
William E. Fitzgibbon, Jeffrey J. Morgan, Glenn F. Webb +1
In this paper we study a diffusive age structured epidemic model with disease transmission between vector and host populations. The dynamics of the populations are described by rea…
An Outbreak Vector-host Epidemic Model with Spatial Structure: The 2015 Zika Outbreak in Rio de Janeiro
W. Fitzgibbon, J. Morgan, G. Webb
Background: A deterministic model is developed for the spatial spread of an epidemic disease in a geographical setting. The disease is borne by vectors to susceptible hosts through…