Mathematical Modeling of Commensalism Between Two Species with Limited Resources.
In this report, a mathematical model of commensalism between two species (S,) and (S,) with limited resources is formulated. The commensal species (S), despite the limitation of its natural resources, flourishes drawing strength from the host species (S,). This model is characterized by a pair of fi...
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| Format: | Thesis |
| Language: | en_US |
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Kabale University
2024
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| Online Access: | http://hdl.handle.net/20.500.12493/1701 |
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| _version_ | 1813635241526427648 |
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| author | Namutebi, Aminah |
| author_facet | Namutebi, Aminah |
| author_sort | Namutebi, Aminah |
| collection | KAB-DR |
| description | In this report, a mathematical model of commensalism between two species (S,) and (S,) with limited resources is formulated. The commensal species (S), despite the limitation of its natural resources, flourishes drawing strength from the host species (S,). This model is characterized by a pair of first-order non-linear coupled differential equations. All four equilibrium points of the model are identified and the nature of stability of the four equilibrium points is discussed using the Jacobian and trace determinant method. The first three equilibrium points are unstable and only the nontrivial point is stable. Further, the results are stated on the phase diagram. |
| format | Thesis |
| id | oai:idr.kab.ac.ug:20.500.12493-1701 |
| institution | KAB-DR |
| language | en_US |
| publishDate | 2024 |
| publisher | Kabale University |
| record_format | dspace |
| spelling | oai:idr.kab.ac.ug:20.500.12493-17012024-08-01T00:03:13Z Mathematical Modeling of Commensalism Between Two Species with Limited Resources. Namutebi, Aminah Mathematical Modeling Commensalism Species Limited Resources In this report, a mathematical model of commensalism between two species (S,) and (S,) with limited resources is formulated. The commensal species (S), despite the limitation of its natural resources, flourishes drawing strength from the host species (S,). This model is characterized by a pair of first-order non-linear coupled differential equations. All four equilibrium points of the model are identified and the nature of stability of the four equilibrium points is discussed using the Jacobian and trace determinant method. The first three equilibrium points are unstable and only the nontrivial point is stable. Further, the results are stated on the phase diagram. 2024-01-17T08:41:56Z 2024-01-17T08:41:56Z 2022 Thesis Namutebi, Aminah (2022). Mathematical Modeling of Commensalism Between Two Species with Limited Resources. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/1701 en_US Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf Kabale University |
| spellingShingle | Mathematical Modeling Commensalism Species Limited Resources Namutebi, Aminah Mathematical Modeling of Commensalism Between Two Species with Limited Resources. |
| title | Mathematical Modeling of Commensalism Between Two Species with Limited Resources. |
| title_full | Mathematical Modeling of Commensalism Between Two Species with Limited Resources. |
| title_fullStr | Mathematical Modeling of Commensalism Between Two Species with Limited Resources. |
| title_full_unstemmed | Mathematical Modeling of Commensalism Between Two Species with Limited Resources. |
| title_short | Mathematical Modeling of Commensalism Between Two Species with Limited Resources. |
| title_sort | mathematical modeling of commensalism between two species with limited resources |
| topic | Mathematical Modeling Commensalism Species Limited Resources |
| url | http://hdl.handle.net/20.500.12493/1701 |
| work_keys_str_mv | AT namutebiaminah mathematicalmodelingofcommensalismbetweentwospecieswithlimitedresources |