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hal-00195444, version 1

Pathogens can slow down or reverse invasion fronts of their hosts

F.M. Hilker (), M.A. Lewis, H. Seno (), Michel Langlais () 1, 2, H. Malchow ()

Biological Invasions 7 (2005) 817-832

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 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.

  • 1:  ANUBIS (INRIA Futurs)
  • INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
  • 2:  Institut de Mathématiques de Bordeaux (IMB)
  • CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
  • Domain : Mathematics/Analysis of PDEs
    Life Sciences/Ecology, environment/Health
  • Keywords : Allee effect – epidemiology – invasion – pathogen – reversal – SI model – slow-down – travelling wave
 
  • hal-00195444, version 1
  • http://hal.archives-ouvertes.fr/hal-00195444
  • oai:hal.archives-ouvertes.fr:hal-00195444
  • From: Michel Langlais <>
  • Submitted on: Monday, 10 December 2007 21:23:51
  • Updated on: Friday, 4 July 2008 11:15:33