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

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

doi:10.1090/proc/16873

Global dynamics of a nonlocal reaction-diffusion-advection two-species phytoplankton model
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by Danhua Jiang, Shiyuan Cheng, Yun Li and Zhi-Cheng Wang;

Proc. Amer. Math. Soc. 152 (2024), 3841-3853

DOI: https://doi.org/10.1090/proc/16873

Published electronically: July 29, 2024

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Abstract:

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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