The Growth of Plankton Model with Toxin———From the Perspective of Heterosigma Akashiwo
In order to study the growth of phytoplankton in a toxic plankton model，we first take take the harmful algal bloom species，Heterosigma akashiwo，as an example and establish a multiple regression model between its growth rate and three influencing factors: temperature ，salinity ，and l...
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Harbin University of Science and Technology Publications
2024-02-01
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| Series: | Journal of Harbin University of Science and Technology |
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| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2303 |
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| author | YANG Hong LI Chengyu |
| author_facet | YANG Hong LI Chengyu |
| author_sort | YANG Hong |
| collection | DOAJ |
| description | In order to study the growth of phytoplankton in a toxic plankton model，we first take take the harmful algal bloom species，Heterosigma akashiwo，as an example and establish a multiple regression model between its growth rate and three influencing factors: temperature ，salinity ，and light intensity based on relevant literature data. The parameters of the model are determined. Secondly，using the theory of qualitative analysis of ordinary differential equations，we prove the positivity and boundedness of the solution of the model and analyze the stability of the model by considering the growth rate as a parameter. Finally，incorporating the obtained stability analysis conclusions，we quantitatively and specifically describe its growth situation with a numerical simulation. In conclusion，taking into account the influence of environmental factors on the growth rate and toxin release rate，and how they in turn affect the population dynamics of planktonic organisms in the biological system. This study has significant guiding implications for predicting the dynamic changes of planktonic organisms and forecasting harmful algal blooms by considering the impact of environmental factors on growth rate and toxin release rate. |
| format | Article |
| id | doaj-art-c9b42541f5ad42bc828ed2c2619f0cdd |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2024-02-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-c9b42541f5ad42bc828ed2c2619f0cdd2025-08-20T03:50:31ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832024-02-01290113314210.15938/j.jhust.2024.01.015The Growth of Plankton Model with Toxin———From the Perspective of Heterosigma AkashiwoYANG Hong0LI Chengyu1School of Science，Jiangsu Ocean University，Lianyungang，222005，China;Marine Resources Development Institute of Jiangsu，Jiangsu Ocean University，Lianyungang，222005，ChinaSchool of Science，Jiangsu Ocean University，Lianyungang，222005，ChinaIn order to study the growth of phytoplankton in a toxic plankton model，we first take take the harmful algal bloom species，Heterosigma akashiwo，as an example and establish a multiple regression model between its growth rate and three influencing factors: temperature ，salinity ，and light intensity based on relevant literature data. The parameters of the model are determined. Secondly，using the theory of qualitative analysis of ordinary differential equations，we prove the positivity and boundedness of the solution of the model and analyze the stability of the model by considering the growth rate as a parameter. Finally，incorporating the obtained stability analysis conclusions，we quantitatively and specifically describe its growth situation with a numerical simulation. In conclusion，taking into account the influence of environmental factors on the growth rate and toxin release rate，and how they in turn affect the population dynamics of planktonic organisms in the biological system. This study has significant guiding implications for predicting the dynamic changes of planktonic organisms and forecasting harmful algal blooms by considering the impact of environmental factors on growth rate and toxin release rate.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2303heterosigma akashiwogrowth ratestabilityharmful algal bloom |
| spellingShingle | YANG Hong LI Chengyu The Growth of Plankton Model with Toxin———From the Perspective of Heterosigma Akashiwo Journal of Harbin University of Science and Technology heterosigma akashiwo growth rate stability harmful algal bloom |
| title | The Growth of Plankton Model with Toxin———From the Perspective of Heterosigma Akashiwo |
| title_full | The Growth of Plankton Model with Toxin———From the Perspective of Heterosigma Akashiwo |
| title_fullStr | The Growth of Plankton Model with Toxin———From the Perspective of Heterosigma Akashiwo |
| title_full_unstemmed | The Growth of Plankton Model with Toxin———From the Perspective of Heterosigma Akashiwo |
| title_short | The Growth of Plankton Model with Toxin———From the Perspective of Heterosigma Akashiwo |
| title_sort | growth of plankton model with toxin from the perspective of heterosigma akashiwo |
| topic | heterosigma akashiwo growth rate stability harmful algal bloom |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=2303 |
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