Modeling the role of fish population in mitigating algal bloom

Mohammad Sajid; Arvind Kumar Misra; Ahmed S. Almohaimeed; Mohammad Sajid; Arvind Kumar Misra; Ahmed S. Almohaimeed

doi:10.3934/era.2024269

Electronic Research Archive

2024, Volume 32, Issue 10: 5819-5845. doi: 10.3934/era.2024269

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Modeling the role of fish population in mitigating algal bloom

1.
Department of Mechanical Engineering, College of Engineering, Qassim University, Saudi Arabia
2.
Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi–221 005, India
3.
Department of Mathematics, College of Science, Qassim University, Saudi Arabia

Received: 18 May 2024 Revised: 04 October 2024 Accepted: 18 October 2024 Published: 29 October 2024

Algal blooms pose a significant threat to the ecological integrity and biodiversity in aquatic ecosystems. In lakes, enriched with nutrients, these blooms result in overgrowth of periphyton, leading to biological clogging, oxygen depletion, and ultimately a decline in ecosystem's health and water quality. In this article, we presented a mathematical model centered around the role of aquatic species (specifically fish population) to alleviate algal blooms. The model analysis revealed significant shifts in dynamics, shedding light on the effectiveness of fish-mediated sustainability strategies to control algal proliferation. Notably, our study identified critical thresholds and regime transitions through the observation of saddle-node bifurcation within the proposed mathematical model. To validate our analytical findings, we have conducted numerical simulations, which provided robust evidence for the resilience of the ecosystem under different scenarios.
- mathematical model,
- algal bloom,
- fish population,
- sustainability,
- ecosystem
Citation: Mohammad Sajid, Arvind Kumar Misra, Ahmed S. Almohaimeed. Modeling the role of fish population in mitigating algal bloom[J]. Electronic Research Archive, 2024, 32(10): 5819-5845. doi: 10.3934/era.2024269

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Abstract

Algal blooms pose a significant threat to the ecological integrity and biodiversity in aquatic ecosystems. In lakes, enriched with nutrients, these blooms result in overgrowth of periphyton, leading to biological clogging, oxygen depletion, and ultimately a decline in ecosystem's health and water quality. In this article, we presented a mathematical model centered around the role of aquatic species (specifically fish population) to alleviate algal blooms. The model analysis revealed significant shifts in dynamics, shedding light on the effectiveness of fish-mediated sustainability strategies to control algal proliferation. Notably, our study identified critical thresholds and regime transitions through the observation of saddle-node bifurcation within the proposed mathematical model. To validate our analytical findings, we have conducted numerical simulations, which provided robust evidence for the resilience of the ecosystem under different scenarios.

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