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.

中文翻译：

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Rosenzweig-MacArthur 模型在非规则网络上的稳定性

本文检验了 Rosenzweig–MacArthur 模型分布到相同的离散栖息地斑块的稳定性。假定斑块之间的迁移遵循非扩散规则，即个体离开其当地栖息地斑块并迁移到另一个斑块的速度是固定的。在这种非扩散迁移规则下，我们发现在非规则和连通的栖息地网络上的人口分散可以稳定和破坏 Rosenzweig-MacArthur 模型。它还表明，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扩散。