非正则网络上具有非扩散扩散扩散的Rosenzweig–MacArthur模型的稳定性

IF 1.2 4区生物学 Q4 ECOLOGY

Theoretical Population Biology Pub Date : 2023-04-01 DOI:10.1016/j.tpb.2023.02.002

Ryusuke Kon , Dinesh Kumar

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引用次数: 0

摘要

本文研究了Rosenzweig–MacArthur模型分布在相同离散生境斑块上的稳定性。斑块之间的迁移被认为遵循非扩散规则，即个体离开当地栖息地斑块并迁移到另一个栖息地斑块的速率是固定的。在这种非扩散迁移规则下，我们发现种群在非规则和连通的栖息地网络上的扩散既可以稳定Rosenzweig–MacArthur模型，也可以破坏其稳定。研究还表明，如果栖息地网络是规则的，我们的非扩散迁移规则显然会变得具有扩散性。

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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Stability of Rosenzweig–MacArthur models with non-diffusive dispersal on non-regular networks

This paper examines the stability of the Rosenzweig–MacArthur model distributed to identical discrete habitat patches. Migration between patches is assumed to follow the non-diffusive rule that individuals have a fixed rate of leaving their local habitat patch and migrating to another. Under this non-diffusive migration rule, we found that population dispersal on a non-regular and connected habitat network can both stabilize and destabilize the Rosenzweig–MacArthur model. It is also shown that our non-diffusive migration rule apparently becomes diffusive if the habitat network is regular.

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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.