%0 Journal Article
%J Bulletin of mathematical biology
%D 2006
%T A model of spatial epidemic spread when individuals move within overlapping home ranges.
%A Reluga, Timothy C
%A Medlock, Jan
%A Galvani, Alison P
%K Algorithms
%K Animals
%K Communicable Diseases
%K Computer Simulation
%K Disease Outbreaks
%K Epidemiologic Methods
%K Humans
%K Locomotion
%K Models, Biological
%N 2
%P 401-16
%R 10.1007/s11538-005-9027-y
%V 68
%X 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's spatial spread. Guidelines are suggested for determining which limit is most appropriate for a specific disease.
%8 2006 Feb