79 citations · 127 across the 25 of their papers we have counts for
4 papers · 1 filter
Asymptotic behavior of a nonlocal advection system with two populations
Xiaoming Fu, Pierre Magal
In this paper, we consider a nonlocal advection model for two populations on a bounded domain. The first part of the paper is devoted to the existence and uniqueness of solutions a…
Functional differential equation with infinite delay in a space of exponentially bounded and uniformly continuous functions
Zhihua Liu, Pierre Magal
In this article we study a class of delay differential equations with infinite delay in weighted spaces of uniformly continuous functions. We focus on the integrated semigroup form…
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…