@article {132101,
title = {A model of spatial epidemic spread when individuals move within overlapping home ranges.},
journal = {Bulletin of mathematical biology},
volume = {68},
year = {2006},
month = {2006 Feb},
pages = {401-16},
abstract = {One of the central goals of mathematical epidemiology is to predict disease transmission patterns in populations. Two models are commonly used to predict spatial spread of a disease. The first is the distributed-contacts model, often described by a contact distribution among stationary individuals. The second is the distributed-infectives model, often described by the diffusion of infected individuals. However, neither approach is ideal when individuals move within home ranges. This paper presents a unified modeling hypothesis, called the restricted-movement model. We use this model to predict spatial spread in settings where infected individuals move within overlapping home ranges. Using mathematical and computational approaches, we show that our restricted-movement model has three limits: the distributed-contacts model, the distributed-infectives model, and a third, less studied advective distributed-infectives limit. We also calculate approximate upper bounds for the rates of an epidemic{\textquoteright}s spatial spread. Guidelines are suggested for determining which limit is most appropriate for a specific disease.},
keywords = {Algorithms, Animals, Communicable Diseases, Computer Simulation, Disease Outbreaks, Epidemiologic Methods, Humans, Locomotion, Models, Biological},
issn = {0092-8240},
doi = {10.1007/s11538-005-9027-y},
author = {Reluga, Timothy C and Medlock, Jan and Galvani, Alison P}
}