Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota

Yawen Yan; Hongyue Wang; Xiaoyuan Chang; Jimin Zhang; Yawen Yan; Hongyue Wang; Xiaoyuan Chang; Jimin Zhang

doi:10.3934/mbe.2023186

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 2: 3983-4005. doi: 10.3934/mbe.2023186

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Research article

Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota

1.
College of Mathematical Sciences, Harbin Engineering University, Harbin 150001, China
2.
School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China
3.
School of Science, Harbin University of Science and Technology, Harbin 150080, China
Academic editor: Yang Kuang

Received: 29 September 2022 Revised: 02 December 2022 Accepted: 04 December 2022 Published: 14 December 2022

In a shallow aquatic environment, a mathematical model with variable cell quota is proposed to characterize asymmetric resource competition for light and nutrients among aquatic producers. We investigate the dynamics of asymmetric competition models with constant and variable cell quotas and obtain the basic ecological reproductive indexes for aquatic producer invasions. The similarities and differences between the two types of cell quotas for dynamical properties and influences on asymmetric resource competition are explored through theoretical and numerical analysis. These results contribute to further revealing the role of constant and variable cell quotas in aquatic ecosystems.
- asymmetrical resource competition,
- constant and variable cell quotas,
- aquatic producers,
- basic ecological reproductive indexes
Citation: Yawen Yan, Hongyue Wang, Xiaoyuan Chang, Jimin Zhang. Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota[J]. Mathematical Biosciences and Engineering, 2023, 20(2): 3983-4005. doi: 10.3934/mbe.2023186

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Abstract

In a shallow aquatic environment, a mathematical model with variable cell quota is proposed to characterize asymmetric resource competition for light and nutrients among aquatic producers. We investigate the dynamics of asymmetric competition models with constant and variable cell quotas and obtain the basic ecological reproductive indexes for aquatic producer invasions. The similarities and differences between the two types of cell quotas for dynamical properties and influences on asymmetric resource competition are explored through theoretical and numerical analysis. These results contribute to further revealing the role of constant and variable cell quotas in aquatic ecosystems.

References

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