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)
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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
Issue number8
Early online date5 Oct 2015
Publication statusPublished - 2015


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


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