79 citations · 82 across the 4 of their papers we have counts for
4 papers
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…
On a Vector-host Epidemic Model with Spatial Structure
Pierre Magal, G. F. Webb, Yixiang Wu
In this paper, we study a reaction-diffusion vector-host epidemic model. We define the basic reproduction number and show that is a threshold parameter: if t…
Spatial Spread of Epidemic Diseases in Geographical Settings: Seasonal Influenza Epidemics in Puerto Rico
Pierre Magal, Glenn F. Webb, Yixiang Wu
Deterministic models are developed for the spatial spread of epidemic diseases in geographical settings. The models are focused on outbreaks that arise from a small number of infec…
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…