Spatial Correlations and Local Fluctuations in Host Parasite (2007)
The interaction between humans and infectious diseases is one of the most important and most well understood areas of ecology. The simple mathematical models which describe the ideal progression of a...
Spatila Heterogeneity and the Maintenance of Sex (2007)
. The persistence of sexual reproduction is one of the outstanding problems in evolution. Two main explanations have arisen: mutation clearance and the enhanced spread of advantageous traits,...
M. J. Keeling, J. Mcglade, D. A. Rand
Running head: Characteristic length scales in ecology
Spatially extended host-parasite interactions: The role of recovery and immunity (2007)
Webb, S.D., Keeling, M.J., Boots, M.
Techniques for determining the long-term dynamics of host–parasite systems are well established for mixed populations. The field of spatial modelling in ecology is more recent but a number of key...
Spatially extended host-parasite interactions: The role of recovery and immunity (2007)
Webb, S.D., Keeling, M.J., Boots, M.
Techniques for determining the long-term dynamics of host-parasite systems are well established for mixed populations. The field of spatial modelling in ecology is more recent but a number of key...
Spatially extended host-parasite interactions: The role of recovery and immunity (2007)
Webb, S.D., Keeling, M.J., Boots, M.
Techniques for determining the long-term dynamics of host-parasite systems are well established for mixed populations. The field of spatial modelling in ecology is more recent but a number of key...
Bubonic plague: a metapopulation model of a zoonosis (2000)
Bubonic plague (Yersinia pestis) is generally thought of as a historical disease; however, it is still responsible for around 1000^3000 deaths each year worldwide. This paper expands the analysis of...
Dyad Models for Childhood Epidemics (1997)
Keeling Rand, M. J. Keeling, A. Morris
Introduction Measles is one of the most communicable infectious diseases. Prior to immunisation, measles was a common childhood disease even in developed countries with over 90% of the population...
A Spatial Mechanism for the Evolution and Maintenance of Sexual Reproduction. (1995)
In this paper we discuss a spatial mechanism for the evolution and maintenance of sexual reproduction. We consider three related models in which sexual reproduction is maintained by parasitism...
Correlation models for childhood epidemics.
Keeling, M J, Rand, D A, Morris, A J
One of the simplest set of equations for the description of epidemics (the SEIR equations) has been much studied, and produces reasonable approximations to the dynamics of communicable disease....
The effects of local spatial structure on epidemiological invasions.
Predicting the likely success of invasions is vitally important in ecology and especially epidemiology. Whether an organism can successfully invade and persist in the short-term is highly dependent...
The simple susceptible–infectious–recovered (SIR) model has provided many insights into the behaviour of a single epidemic. However, most of epidemiology is concerned with endemic infections, and...
Bubonic plague: a metapopulation model of a zoonosis.
Bubonic plague (Yersinia pestis) is generally thought of as a historical disease; however, it is still responsible for around 1000-3000 deaths each year worldwide. This paper expands the analysis of...
Neighbourhood control policies and the spread of infectious diseases.
Matthews, L, Haydon, D T, Shaw, D J, Chase-Topping, M E, Keeling, M J, Woolhouse, M E J
We present a model of a control programme for a disease outbreak in a population of livestock holdings. Control is achieved by culling infectious holdings when they are discovered and by the...
Characteristic length scales of spatial models in ecology via fluctuation analysis
Keeling, M. J., Mezić, I., Hendry, R. J., McGlade, J., Rand, D. A.
A technique of fluctuation analysis is introduced for the identification of characteristic length scales in spatial models, with similarities to the recently introduced methods using correlations....
On methods for studying stochastic disease dynamics
Models that deal with the individual level of populations have shown the importance of stochasticity in ecology, epidemiology and evolution. An increasingly common approach to studying these models...