Rodrigues Luiz Alberto Díaz, Mistro Diomar Cristina, Cara Elisa Regina, Petrovskaya Natalia, Petrovskii Sergei
Departamento de Matemática, Universidade Federal de Santa Maria, Santa Maria, RS, Brazil.
Instituto de Matemática, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil.
Bull Math Biol. 2015 Aug;77(8):1583-619. doi: 10.1007/s11538-015-0097-1. Epub 2015 Oct 5.
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.
了解入侵物种扩散过程中出现的时空模式对于成功管理和控制有害物种至关重要，而数学建模被广泛认为是实现这一目标的有力研究工具。典型入侵模式为连续种群行进前沿的传统观点最近受到了实证和理论结果的挑战，这些结果揭示了更为复杂的替代情景。特别是，所谓的斑块状入侵一直是相当受关注的焦点；然而，其理论研究仅限于入侵物种主要通过短距离扩散传播的情况。与此同时，有大量证据表明长距离扩散并非罕见现象，而是许多物种所采用的一种策略。在本文中，我们考虑长距离扩散效应和扩散核的肥尾效应如何改变斑块状入侵。
