Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota-Reference-Cited by-同舟云学术

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

Published:2022 Issue:2 Volume:20 Page:3983-4005
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Yan Yawen¹²,Wang Hongyue²,Chang Xiaoyuan³,Zhang Jimin²

Affiliation:

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

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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