论文标题
由于非局部相互作用，在Lotka-Volterra竞争模型中增强了物种共存
Enhanced species coexistence in Lotka-Volterra competition models due to nonlocal interactions
论文作者
论文摘要
我们介绍和分析具有本地和非局部相互作用的空间Lotka-Volterra竞争模型。我们研究了两个替代类别的非局部竞争类别，这些类别在每个物种的特征决定非局部相互作用的范围上有所不同。在这两种情况下，非局部相互作用都可以创建人口密度的空间模式，其中人口稠密的团块与未人口的区域交替出现。这个未填充的区域为较弱的竞争者提供了空间位，可以在社区中建立并在当地模型预测竞争性排斥的条件下持续存在。此外，取决于局部和非局部竞争强度之间的平衡，较弱的竞争者的团块因M样结构而不等，具有较高密度的个体在每个团块边缘积累的个体到三角形结构，而大多数人都占据中心。这些结果表明，通过在人口密度中创造空间模式，远程竞争可能是在实际生态群落中观察到的丰富物种的重要驱动力。
We introduce and analyze a spatial Lotka-Volterra competition model with local and nonlocal interactions. We study two alternative classes of nonlocal competition that differ in how each species' characteristics determine the range of the nonlocal interactions. In both cases, nonlocal interactions can create spatial patterns of population densities in which highly populated clumps alternate with unpopulated regions. This non-populated regions provide spatial niches for a weaker competitor to establish in the community and persist in conditions in which local models predict competitive exclusion. Moreover, depending on the balance between local and nonlocal competition intensity, the clumps of the weaker competitor vary from M-like structures with higher densities of individuals accumulating at the edges of each clump to triangular structures with most individuals occupying their centers. These results suggest that long-range competition, through the creation of spatial patterns in population densities, might be an important driving force behind the rich diversity of species observed in real ecological communities.
