一类带季节的多类型接触过程的共存性
Coexistence for a multitype contact process with seasons
摘要：
我们引入了一个多类型的接触过程的时间异质性，涉及两个物种竞争空间上的$d$维整数格。时间分为季节，交替称为季节1和季节2。我们证明，有一个开集的参数，这两个物种可以共存时，他们的扩散范围是足够大的。数值模拟还表明，三个物种可以共存的两个季节的存在。这与时间齐次多型接触过程的长期行为形成对比，在时间齐次多型接触过程中，当死亡率相等时，具有较高出生率的物种胜过其他物种。
英文摘要：
We introduce a multitype contact process with temporal heterogeneity involving two species competing for space on the $d$-dimensional integer lattice. Time is divided into seasons called alternately season 1 and season 2. We prove that there is an open set of the parameters for which both species can coexist when their dispersal range is large enough. Numerical simulations also suggest that three species can coexist in the presence of two seasons. This contrasts with the long-term behavior of the time-homogeneous multitype contact process for which the species with the higher birth rate outcompetes the other species when the death rates are equal.
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