A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting
In this paper, a fishery model for African catfish and Nile tilapia is formulated. This model is used to compare financial profit and biomass outtakes in a two-species system versus single species systems. We consider a stage-structured fish population model consisting of the aforementioned fish spe...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/4112015 |
| _version_ | 1798024986879852544 |
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| author | L. Nankinga L. S. Luboobi J. Y. T. Mugisha B. Nannyonga L. Carlsson |
| author_facet | L. Nankinga L. S. Luboobi J. Y. T. Mugisha B. Nannyonga L. Carlsson |
| author_sort | L. Nankinga |
| collection | DOAJ |
| description | In this paper, a fishery model for African catfish and Nile tilapia is formulated. This model is used to compare financial profit and biomass outtakes in a two-species system versus single species systems. We consider a stage-structured fish population model consisting of the aforementioned fish species together with two food resources. The model dynamics include cannibalism, predator-prey, feeding, reproduction, maturation, development, mortality, and harvesting. We prove consistency of the model in the sense that the solutions will stay bounded and nonnegative over time. Conditions for local stability of fish-free equilibrium point are established. The simulation results reveal asymptotically stable solutions with coexistence of African catfish, Nile tilapia, and two food resources. The major conclusion from our findings is that fisheries should culture both species to maximize the biomass outtake and financial profit. |
| first_indexed | 2024-04-11T18:12:40Z |
| format | Article |
| id | doaj.art-0de142a0cba94675b784f4f457017b82 |
| institution | Directory Open Access Journal |
| issn | 1687-0042 |
| language | English |
| last_indexed | 2024-04-11T18:12:40Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj.art-0de142a0cba94675b784f4f457017b822022-12-22T04:10:04ZengHindawi LimitedJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/4112015A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with HarvestingL. Nankinga0L. S. Luboobi1J. Y. T. Mugisha2B. Nannyonga3L. Carlsson4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDivision of Mathematics and PhysicsIn this paper, a fishery model for African catfish and Nile tilapia is formulated. This model is used to compare financial profit and biomass outtakes in a two-species system versus single species systems. We consider a stage-structured fish population model consisting of the aforementioned fish species together with two food resources. The model dynamics include cannibalism, predator-prey, feeding, reproduction, maturation, development, mortality, and harvesting. We prove consistency of the model in the sense that the solutions will stay bounded and nonnegative over time. Conditions for local stability of fish-free equilibrium point are established. The simulation results reveal asymptotically stable solutions with coexistence of African catfish, Nile tilapia, and two food resources. The major conclusion from our findings is that fisheries should culture both species to maximize the biomass outtake and financial profit.http://dx.doi.org/10.1155/2022/4112015 |
| spellingShingle | L. Nankinga L. S. Luboobi J. Y. T. Mugisha B. Nannyonga L. Carlsson A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting Journal of Applied Mathematics |
| title | A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting |
| title_full | A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting |
| title_fullStr | A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting |
| title_full_unstemmed | A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting |
| title_short | A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting |
| title_sort | stage structured fishery model for african catfish and nile tilapia feeding on two food resources with harvesting |
| url | http://dx.doi.org/10.1155/2022/4112015 |
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