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Algae–Bacteria Interactions with Nutrients and Light: A Reaction–Diffusion–Advection Model

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Abstract

In a poorly mixed water column, a reaction–diffusion–advection system is proposed to model algae–bacteria interactions containing nutrients and light. The basic ecological reproductive indices for the invasion of algae and bacteria into aquatic ecosystems are rigorously derived. All possibilities for the survival or extinction of algae and bacteria are obtained by analyzing nonnegative steady-state solutions. We further explore the influence of spatial factors and abiotic factors on algal or bacterial dynamics. Our results show that bacteria effectively reduce the biomass of algae and prevent them from moving to the water surface and ultimately reduce the probability of harmful algal blooms.

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Correspondence to Hao Wang.

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Communicated by Philip K. Maini.

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Yawen Yan and Jimin Zhang are supported by NSFC-11971088 and NSFHLJ-LH2019A022; Hao Wang is supported by NSERC Discovery Grant RGPIN-2020-03911 and NSERC Accelerator Grant RGPAS-2020-00090.

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Yan, Y., Zhang, J. & Wang, H. Algae–Bacteria Interactions with Nutrients and Light: A Reaction–Diffusion–Advection Model. J Nonlinear Sci 32, 56 (2022). https://doi.org/10.1007/s00332-022-09815-8

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