Patchy invasion of stage-structured alien species with short-distance and long-distance dispersal

Luiz Alberto Díaz Rodrigues, Diomar Cristina Mistro, Elisa Regina Cara, Natalia Petrovskaya, Sergei Petrovskii

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13 Citations (Scopus)
234 Downloads (Pure)

Abstract

Understanding of spatiotemporal patterns arising in invasive species spread is necessary for successful management and control of harmful species, and mathematical modeling is widely recognized as a powerful research tool to achieve this goal. The conventional view of the typical invasion pattern as a continuous population traveling front has been recently challenged by both empirical and theoretical results revealing more complicated, alternative scenarios. In particular, the so-called patchy invasion has been a focus of considerable interest; however, its theoretical study was restricted to the case where the invasive species spreads by predominantly short-distance dispersal. Meanwhile, there is considerable evidence that the long-distance dispersal is not an exotic phenomenon but a strategy that is used by many species. In this paper, we consider how the patchy invasion can be modified by the effect of the long-distance dispersal and the effect of the fat tails of the dispersal kernels.
Original languageEnglish
Pages (from-to)1583-1619
JournalBulletin of Mathematical Biology
Volume77
Issue number8
Early online date5 Oct 2015
DOIs
Publication statusPublished - 2015

Keywords

  • Biological invasion
  • Allee effect
  • Predator–prey system
  • Integro-difference equation
  • Cauchy kernel

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