论文标题
在具有季节性的模型中具有竞争性排斥：三个物种不能在两个季节的生态系统中共存
Competitive exclusion in a model with seasonality: three species cannot coexist in an ecosystem with two seasons
论文作者
论文摘要
Chan，Durrett和Lanchier引入了Multenpe接触过程，其时间异质性涉及两个物种在D维整数晶格上竞争太空。时间分为两个季节。他们证明，当它们的分散范围足够大时，这两个物种都可以共存。数值模拟表明，在存在两个季节的情况下，三个物种可以共存。本文的要点是证明这种猜想是不正确的。为此，我们证明了更通用的ODE模型的结果，并将其行为与已研究的其他相关系统进行对比，以了解竞争性排除原则。
Chan, Durrett, and Lanchier introduced a multitype contact process with temporal heterogeneity involving two species competing for space on the d-dimensional integer lattice. Time is divided into two seasons. They proved that there is an open set of the parameters for which both species can coexist when their dispersal range is sufficiently large. Numerical simulations suggested that three species can coexist in the presence of two seasons. The main point of this paper is to prove that this conjecture is incorrect. To do this we prove results for a more general ODE model and contrast its behavior with other related systems that have been studied in order to understand the competitive exclusion principle.
