Invasive species have had a profound impact on ecosystems all over the world. Their presence can lead to fundamental changes in the biodiversity of a given ecosystem as well as the extinction of native species. In particular, this work looks at the effect on the Gecarcoidea natalis (Red Crab) population on Christmas Island due to the presence of vast arrays of supercolonies containing Anoplolepis gracilipes (Yellow Crazy Ant). We primarily study the inter-species interaction occurring during the crab migration to the island coast. We propose a microscopic model for the dynamics of the crabs and ants with the goal of increasing crab survival. Through analysis of the model, we investigate a range of potential preventative measures that could be taken to preserve the native crab population dependent on their locations. The main result of this work is that by considering the locations of ant supercolonies incorporated into Monte Carlo simulations of the model, we can identify the order that the supercolonies need to be removed to provide the greatest chance at survival for the crabs per migration cycle.

入侵物种已对全世界的生态系统产生了深远的影响。它们的存在会导致给定生态系统的生物多样性发生根本变化，以及原生物种的灭绝。特别是，这项工作在外观上的影响Gecarcoidea NATALIS在圣诞岛（红蟹）群体由于含有supercolonies广大阵列的存在捷蚁属细梗（黄色的疯狂蚂蚁）。我们主要研究在螃蟹迁移到岛上海岸期间发生的种间相互作用。我们提出了蟹和蚂蚁动力学的微观模型，目的是增加蟹的存活率。通过对模型的分析，我们调查了一系列潜在的预防措施，这些措施可用来保护本地螃蟹种群（取决于它们的位置）。这项工作的主要结果是，通过考虑模型的蒙特卡洛模拟中所包含的蚂蚁超殖民地的位置，我们可以确定需要去除超殖民地的顺序，以便为每个迁移周期的螃蟹提供最大的生存机会。