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 language | English |
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Pages (from-to) | 1583-1619 |
Journal | Bulletin of Mathematical Biology |
Volume | 77 |
Issue number | 8 |
Early online date | 5 Oct 2015 |
DOIs | |
Publication status | Published - 2015 |
Keywords
- Biological invasion
- Allee effect
- Predator–prey system
- Integro-difference equation
- Cauchy kernel