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math.AP2018
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…
math.AP2018
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…
math.AP2017
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…