Fragmentation followed by desertification in water-limited resources and/or nutrient-poor ecosystems is a major risk to the biological productivity of vegetation. By using the vegetation interaction-redistribution model, we analyse the interaction between localised vegetation patches. Here we show analytically and numerically that the interaction between two or more patches is always repulsive. As a consequence, only a single localised vegetation patch is stable, and other localised bounded states or clusters of them are unstable. Following this, we discuss the impact of the repulsive nature of the interaction on the formation and the selection of vegetation patterns in fragmented ecosystems.

中文翻译：

---

关于稀缺环境中局部植被斑块之间的排斥相互作用。

水资源有限和/或营养贫乏的生态系统中的破碎化和荒漠化是植被生物生产力的主要风险。通过使用植被相互作用-重新分布模型，我们分析了局部植被斑块之间的相互作用。在这里，我们通过分析和数值表明，两个或多个斑块之间的相互作用始终是排斥的。因此，只有单个局部植被斑块是稳定的，而其他局部边界状态或它们的簇是不稳定的。接下来，我们讨论了相互作用的排斥性对破碎生态系统中植被格局的形成和选择的影响。