Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023186?viewType=HTML |
| _version_ | 1797938825407758336 |
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| author | Yawen Yan Hongyue Wang Xiaoyuan Chang Jimin Zhang |
| author_facet | Yawen Yan Hongyue Wang Xiaoyuan Chang Jimin Zhang |
| author_sort | Yawen Yan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T19:05:47Z |
| format | Article |
| id | doaj.art-9666c10bbf6d45cba3c13377426eebc3 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-10T19:05:47Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-9666c10bbf6d45cba3c13377426eebc32023-01-31T02:29:33ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-012023983400510.3934/mbe.2023186Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quotaYawen Yan0Hongyue Wang1Xiaoyuan Chang2Jimin Zhang31. College of Mathematical Sciences, Harbin Engineering University, Harbin 150001, China 2. School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China2. School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China3. School of Science, Harbin University of Science and Technology, Harbin 150080, China2. School of Mathematical Sciences, Heilongjiang University, Harbin 150080, ChinaIn 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.https://www.aimspress.com/article/doi/10.3934/mbe.2023186?viewType=HTMLasymmetrical resource competitionconstant and variable cell quotasaquatic producersbasic ecological reproductive indexes |
| spellingShingle | Yawen Yan Hongyue Wang Xiaoyuan Chang Jimin Zhang Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota Mathematical Biosciences and Engineering asymmetrical resource competition constant and variable cell quotas aquatic producers basic ecological reproductive indexes |
| title | Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota |
| title_full | Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota |
| title_fullStr | Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota |
| title_full_unstemmed | Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota |
| title_short | Asymmetrical resource competition in aquatic producers: Constant cell quota versus variable cell quota |
| title_sort | asymmetrical resource competition in aquatic producers constant cell quota versus variable cell quota |
| topic | asymmetrical resource competition constant and variable cell quotas aquatic producers basic ecological reproductive indexes |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023186?viewType=HTML |
| work_keys_str_mv | AT yawenyan asymmetricalresourcecompetitioninaquaticproducersconstantcellquotaversusvariablecellquota AT hongyuewang asymmetricalresourcecompetitioninaquaticproducersconstantcellquotaversusvariablecellquota AT xiaoyuanchang asymmetricalresourcecompetitioninaquaticproducersconstantcellquotaversusvariablecellquota AT jiminzhang asymmetricalresourcecompetitioninaquaticproducersconstantcellquotaversusvariablecellquota |