A simple model for the spatial spread and control of rabies
Journal of Theoretical BiologyPublished 1 October 1985
Anders Källén, Paola Arcuri, J. D. Murray
Citations156
SJR quartileQ2
SJR score0.53
SNIP0.71
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
It is shown how the model can be used to estimate the minimum width of a break, that is, a region in which a control scheme is employed in order to stop the spatial progression of the rabies wave front.
Abstract
A simple mathematical model for the spatial spread of rabies is presented. It models the dynamics of the front of an epizootic wave. We show how the model can be used to estimate the minimum width (in kilometers) of a break, that is, a region in which a control scheme is employed in order to stop the spatial progression of the rabies wave front. A simple expression is derived for the surviving fox population, after the passage of the epizootic, in terms of measurable parameters of the model.
Keywords
Immunology and MicrobiologyAgricultural and Biological SciencesMedicine
ScienceDirectly Transmitted Infections Diseases: Control by Vaccination
649 Citations1982Roy M. Anderson, Robert M. May
NaturePopulation dynamics of fox rabies in Europe
489 Citations1981Roy M. Anderson, Helen C. Jackson +2 more
A quantitative discussion of the possibilities of controlling rabies by culling or vaccinating foxes (or by a mixture of the two) is given.
Journal of Mathematical BiologyThresholds and travelling waves for the geographical spread of infection
438 Citations1978Odo Diekmann
A nonlinear integral equation of mixed Volterra-Fredholm type describing the spatio-temporal development of an epidemic is derived and analysed and particular attention is paid to the hair-trigger effect and to the travelling wave problem.
The Population Dynamics of Infectious Diseases: Theory and Applications
368 Citations1982Roy M. Anderson
This poster discusses the population dynamics and control of hookworm and roundworm infections, as well as the dynamics of bacterial infections, which are related to malaria.
NaturePopulation dynamics of human helminth infections: control by chemotherapy
298 Citations1982Roy M. Anderson, Robert M. May
An analysis is presented of the population dynamics of the major helminth parasites of man with the aim of understanding observed patterns in the age-specific prevalence and intensity of infection.
Journal of Mathematical BiologyTravelling wave solutions of diffusive Lotka-Volterra equations
257 Citations1983StevenR. Dunbar
Lecture notes in biomathematicsThe Incidence of Infectious Diseases under the Influence of Seasonal Fluctuations
251 Citations1976Klaus Dietz
The present paper is concerned with the effect of seasonal variations of the contact rate on the incidence of infectious diseases and the theory of nonlinear oscillations according to which the biennial cycles of measles epidemics could be understood as subharmonic parametric resonance.
NatureGeographic and temporal development of plagues
196 Citations1974J. V. NOBLE
Realistic mathematical models of the geotemporal development of plagues could be useful in the study of epizootics, of ecology, wildlife management or veterinary medicine, of social phenomena, and of history.
BiometricsThe Uses of Epidemic Models
74 Citations1979Niels G. Becker
The role that epidemic models can play in helping to understand the spread of diseases and to plan control policies for diseases is explained and a review of some major insights gained from a study of epidemic models and from statistical analyses of disease data using epidemic models are reviewed.
BioScienceMathematics and Computer Science in Biology and Medicine Harold Himsworth George Godber
52 Citations1966Josiah Macy
Zentralblatt für Veterinärmedizin Reihe BRecovery of Reduced Fox Populations in Rabies Control1
51 Citations2010K. Bögel, A. A. Arata +2 more
Estimates are made of most probable rates of fox population recovery based on epidemiological observations, limits of the annual population turnover, and in particular on hunting figures as an indirect measure of the fox population density in Central Europe.
Lecture notes in biomathematicsSome Mathematical Considerations of How to Stop the Spatial Spread of a Rabies Epidemic
10 Citations1980Horst R. Thieme