SUMMARY A review of methods for the analysis of the geographical distribution of disease
is presented. The topic is of increasing interest to statisticians, though much groundwork has …

There are three basic types of deterministic models for infectious diseases which are spread
by direct person-to-person contact in a population. Here these simplest models are …

SARS-CoV-2 started propagating worldwide in January 2020 and has now reached virtually
all communities on the planet. This short review provides evidence of this spread and …

We review the evidence for the role of climate change in triggering disease outbreaks of
chytridiomycosis, an emerging infectious disease of amphibians. Both climatic anomalies …

Infectious disease incidence data are increasingly available at the level of the individual and
include high-resolution spatial components. Therefore, we are now better able to challenge …

This paper describes the use of linear deterministic models for examining the spread of
population processes, discussing their advantages and limitations. Their main advantages …

In the models we will consider, space is represented by a grid of sites that can be in one of a
finite number of states and that change at rates that depend on the states of a finite number …

We examined the propagation of an infectious disease and the eventual extinction of the
host population in a lattice-structured population. Both the host colonization and pathogen …

We consider the velocity with which an invading population spreads over space. For a
general linear model, originally due to Diekmann and Thieme, it is shown that the asymptotic …

A stochastic individual‐based model for simulating the dynamics of an infectious disease in
sympatric red and grey squirrel populations is described. The model simulates the spread of …