Qualitative features of a NPZ-Model
Qualitative study of higher order non linear dynamical systems? is a rewarding experience and a great challenge. This reflective paper is an attempt to deeply analyze interaction features between nutrients, phytoplanktons and zooplanktons by building a so-called NPZ-Model. We used classical methods...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2021-03-01
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| Series: | Biomath |
| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/1351 |
| _version_ | 1827843135329271808 |
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| author | Yaya Youssouf Yaya Diene Ngom Mamadou Sy |
| author_facet | Yaya Youssouf Yaya Diene Ngom Mamadou Sy |
| author_sort | Yaya Youssouf Yaya |
| collection | DOAJ |
| description | Qualitative study of higher order non linear dynamical systems? is a rewarding experience and a great challenge. This reflective paper is an attempt to deeply analyze interaction features between nutrients, phytoplanktons and zooplanktons by building a so-called NPZ-Model. We used classical methods (of Lyapunov, Hopf, etc.) to examine existence, positivity, boundedness and stability of solutions. Our main contribution is the implementation of a meaningful space parameter that simultaneously guarantees instability of equilibria at the border and? stability of the internal equilibrium. In the case of internal equilibrium instability, we observed the emergence of limit cycle which means the existence of periodical solutions. |
| first_indexed | 2024-03-12T08:20:24Z |
| format | Article |
| id | doaj.art-0b346f59d8fd4f9e9df7d237c8caf05d |
| institution | Directory Open Access Journal |
| issn | 1314-684X 1314-7218 |
| language | English |
| last_indexed | 2024-03-12T08:20:24Z |
| publishDate | 2021-03-01 |
| publisher | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics |
| record_format | Article |
| series | Biomath |
| spelling | doaj.art-0b346f59d8fd4f9e9df7d237c8caf05d2023-09-02T18:30:18ZengBulgarian Academy of Sciences, Institute of Mathematics and InformaticsBiomath1314-684X1314-72182021-03-0110110.11145/j.biomath.2021.01.067863Qualitative features of a NPZ-ModelYaya Youssouf YayaDiene NgomMamadou SyQualitative study of higher order non linear dynamical systems? is a rewarding experience and a great challenge. This reflective paper is an attempt to deeply analyze interaction features between nutrients, phytoplanktons and zooplanktons by building a so-called NPZ-Model. We used classical methods (of Lyapunov, Hopf, etc.) to examine existence, positivity, boundedness and stability of solutions. Our main contribution is the implementation of a meaningful space parameter that simultaneously guarantees instability of equilibria at the border and? stability of the internal equilibrium. In the case of internal equilibrium instability, we observed the emergence of limit cycle which means the existence of periodical solutions.http://www.biomathforum.org/biomath/index.php/biomath/article/view/1351 |
| spellingShingle | Yaya Youssouf Yaya Diene Ngom Mamadou Sy Qualitative features of a NPZ-Model Biomath |
| title | Qualitative features of a NPZ-Model |
| title_full | Qualitative features of a NPZ-Model |
| title_fullStr | Qualitative features of a NPZ-Model |
| title_full_unstemmed | Qualitative features of a NPZ-Model |
| title_short | Qualitative features of a NPZ-Model |
| title_sort | qualitative features of a npz model |
| url | http://www.biomathforum.org/biomath/index.php/biomath/article/view/1351 |
| work_keys_str_mv | AT yayayoussoufyaya qualitativefeaturesofanpzmodel AT dienengom qualitativefeaturesofanpzmodel AT mamadousy qualitativefeaturesofanpzmodel |