Competitive exclusion in a model with seasonality: Three species cannot coexist in an ecosystem with two seasons

IF 1.2 4区生物学 Q4 ECOLOGY

Theoretical Population Biology Pub Date : 2022-12-01 DOI:10.1016/j.tpb.2022.09.002

Hwai-Ray Tung, Rick Durrett

引用次数: 0

Abstract

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.

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季节性模型中的竞争排斥:三个物种不能在两个季节的生态系统中共存

Chan, Durrett和Lanchier介绍了一种具有时间异质性的多类型接触过程，涉及两种物种在d维整数晶格上竞争空间。时间分为两个季节。他们证明了存在一个开放的参数集，当它们的扩散范围足够大时，两个物种可以共存。数值模拟表明，三个物种可以在两个季节共存。本文的重点是证明这个猜想是不正确的。为了做到这一点，我们证明了一个更一般的ODE模型的结果，并将其行为与其他研究过的相关系统进行了对比，以理解竞争排斥原理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Theoretical Population Biology 生物-进化生物学

CiteScore

2.50

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： An interdisciplinary journal, Theoretical Population Biology presents articles on theoretical aspects of the biology of populations, particularly in the areas of demography, ecology, epidemiology, evolution, and genetics. Emphasis is on the development of mathematical theory and models that enhance the understanding of biological phenomena. Articles highlight the motivation and significance of the work for advancing progress in biology, relying on a substantial mathematical effort to obtain biological insight. The journal also presents empirical results and computational and statistical methods directly impinging on theoretical problems in population biology.