79 citations · 312 across the 13 of their papers we have counts for
14 papers
Predicting the cumulative number of cases for the COVID-19 epidemic in China from early data
Zhihua Liu, Pierre Magal, Ousmane Seydi +1
We model the COVID-19 coronavirus epidemic in China. We use early reported case data to predict the cumulative number of reported cases to a final size. The key features of our mod…
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…
Mathematical Analysis of a Clonal Evolution Model of Tumour Cell Proliferation
József Z. Farkas, Glenn F. Webb
We investigate a partial differential equation model of a cancer cell population, which is structured with respect to age and telomere length of cells. We assume a continuous telom…