Single Phytoplankton Species Growth with Nonlocal Crowding Effect Caused by Chemosensory Aggregation in a Water Column

Yan Wang, Jinxiang Wang, Xiaobin Yao and C. Rajivganthi

Complexity, 2022, vol. 2022, 1-7

Abstract: In this paper, we study the existence of positive steady states for a nonlocal reaction-diffusion model which describes the growth of a single phytoplankton species with nonlocal crowding effect caused by chemosensory aggregation in a water column. Our result shows that under some conditions, the nonlocal crowding effect is effective to the existence of steady states of phytoplankton populations. Based on a key boundedness Lemma, the main result is proved by fixed point index theory and some analytical techniques.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:7093749

DOI: 10.1155/2022/7093749

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