2018/07/20 by W. E. Fitzgibbon, Fitzgibbon, W. E., J. J. Morgan +1
Mathematics · Medicine · #34 #35k65 #92B99 #Analysis of PDEs (math.AP) #COVID-19 epidemiological studies #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models #Viral Infections and Outbreaks Research
paper · pdf · doi:10.48550/arxiv.1807.08040
openalex publication_date 2018/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 through a host population. In our context, the reservoir is a species capable of harboring and sustaining the pathogen. We develop models that describe the horizontal spread of the disease among the host population when the host population is in contact with the reservoir and when it is not in contact with the host population. These models are of reaction diffusion type, and they are analyzed, and their long term asymptotic behavior is determined.