非局部反应-扩散-平流双物种浮游植物模型的全球动力学研究

IF 0.8 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society Pub Date : 2024-04-03 DOI:10.1090/proc/16873

Danhua Jiang, Shiyuan Cheng, Yun Li, Zhi-Cheng Wang

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引用次数: 0

摘要

我们继续研究一个非局部反应-扩散-平流系统的全局动力学，该系统建模了在富营养化环境中两个相互竞争的浮游植物物种的种群动力学，其中物种的新陈代谢完全依赖于光。在之前的研究中，我们证明了系统（1.1）是一个关于非标准锥的强单调动力系统，并得到了一些竞争排斥结果。本文旨在证明共存稳态以及竞争排斥的存在。我们的结果突出表明，分散策略中的平流可导致各种竞争结果之间的转换。

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Global dynamics of a nonlocal reaction-diffusion-advection two-species phytoplankton model

We continue our study on the global dynamics of a non- local reaction-diffusion-advection system modeling the population dynamics of two competing phytoplankton species in a eutrophic environment, where the species depend solely on light for their metabolism. In our previous works, we proved that system (1.1) is a strongly monotone dynamical system with respect to a non-standard cone, and some competitive exclusion results were obtained. In this paper, we aim to demonstrate the existence of coexistence steady state as well as competitive exclusion. Our results highlight that advection in dispersal strategy can lead to transitions between various competitive outcomes.

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来源期刊

Proceedings of the American Mathematical Society 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

207

审稿时长

2-4 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to shorter research articles (not to exceed 15 printed pages) in all areas of pure and applied mathematics. To be published in the Proceedings, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Longer papers may be submitted to the Transactions of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.