Pathogens can slow down or reverse invasion fronts of their hosts
LANGLAIS, Michel
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
< Reduce
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Language
en
Article de revue
This item was published in
Biological Invasions. 2005, vol. 7, p. 817-832
Springer Verlag
English Abstract
Infectious diseases are often regarded as possible explanations for the sudden collapse of biological invasions. This phenomenon is characterized by a host species, which firstly can successfully establish in a nonnative ...Read more >
Infectious diseases are often regarded as possible explanations for the sudden collapse of biological invasions. This phenomenon is characterized by a host species, which firstly can successfully establish in a nonnative habitat, but then spontaneously disappears again. This study proposes a reaction-diffusion model consisting of a simple SI disease with vital dynamics of Allee effect type. By way of travelling wave analysis, conditions are derived under which the invasion of the host population is slowed down, stopped or reversed as a consequence of a subsequently introduced disease. Hence, pathogens can dramatically control the rate of spread of invasive species.Read less <
English Keywords
Allee effect
epidemiology
invasion
pathogen
reversal
SI model
slow-down
travelling wave
Origin
Hal imported