Literature DB >> 4058027

A simple model for the spatial spread and control of rabies.

A Källén, P Arcuri, J D Murray.   

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.

Mesh:

Year:  1985        PMID: 4058027     DOI: 10.1016/s0022-5193(85)80276-9

Source DB:  PubMed          Journal:  J Theor Biol        ISSN: 0022-5193            Impact factor:   2.691


  20 in total

Review 1.  Raccoon rabies in space and time.

Authors:  A Dobson
Journal:  Proc Natl Acad Sci U S A       Date:  2000-12-19       Impact factor: 11.205

2.  Predicting the spatial dynamics of rabies epidemics on heterogeneous landscapes.

Authors:  David L Smith; Brendan Lucey; Lance A Waller; James E Childs; Leslie A Real
Journal:  Proc Natl Acad Sci U S A       Date:  2002-03-19       Impact factor: 11.205

3.  Convergence to a pulsating travelling wave for an epidemic reaction-diffusion system with non-diffusive susceptible population.

Authors:  Arnaud Ducrot; Thomas Giletti
Journal:  J Math Biol       Date:  2013-07-25       Impact factor: 2.259

4.  Chance and risk of controlling rabies in large-scale and long-term immunized fox populations.

Authors:  L Tischendorf; H H Thulke; C Staubach; M S Müller; F Jeltsch; J Goretzki; T Selhorst; T Müller; H Schlüter; C Wissel
Journal:  Proc Biol Sci       Date:  1998-05-22       Impact factor: 5.349

Review 5.  Mechanistic movement models to understand epidemic spread.

Authors:  Abdou Moutalab Fofana; Amy Hurford
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2017-05-05       Impact factor: 6.237

6.  Pattern formation triggered by rare events: lessons from the spread of rabies.

Authors:  F Jeltsch; M S Müller; V Grimm; C Wissel; R Brandl
Journal:  Proc Biol Sci       Date:  1997-04-22       Impact factor: 5.349

7.  A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world.

Authors:  Nicola Bellomo; Richard Bingham; Mark A J Chaplain; Giovanni Dosi; Guido Forni; Damian A Knopoff; John Lowengrub; Reidun Twarock; Maria Enrica Virgillito
Journal:  Math Models Methods Appl Sci       Date:  2020-08-19       Impact factor: 3.817

8.  Graphically characterizing the movement of a rabid striped skunk epizootic across the landscape in northwestern Wyoming.

Authors:  Craig A Ramey; Kenneth W Mills; Justin W Fischer; Robert G McLean; Kathleen A Fagerstone; Richard M Engeman
Journal:  Ecohealth       Date:  2013-06-29       Impact factor: 3.184

9.  Homogenization, sex, and differential motility predict spread of chronic wasting disease in mule deer in southern Utah.

Authors:  Martha J Garlick; James A Powell; Mevin B Hooten; Leslie R MacFarlane
Journal:  J Math Biol       Date:  2013-07-12       Impact factor: 2.259

10.  Analysis of rabies in China: transmission dynamics and control.

Authors:  Juan Zhang; Zhen Jin; Gui-Quan Sun; Tao Zhou; Shigui Ruan
Journal:  PLoS One       Date:  2011-07-14       Impact factor: 3.240

View more

北京卡尤迪生物科技股份有限公司 © 2022-2023.