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A Stage-Structured Fishery Model for African Catfish and Nile Tilapia Feeding on Two Food Resources with Harvesting
Department of Mathematics, Kyambogo University, Kyambogo, Uganda.
Department of Mathematics, Makerere University, Kampala, Uganda.
Department of Mathematics, Makerere University, Kampala, Uganda.
Department of Mathematics, Makerere University, Kampala, Uganda.
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2022 (English)In: Journal of Applied Mathematics, ISSN 1110-757X, E-ISSN 1687-0042, ISSN - 1110757XArticle in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Hindawi Publishing Corporation, 2022.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-57431DOI: 10.1155/2022/4112015ISI: 000766215700001Scopus ID: 2-s2.0-85124082790OAI: oai:DiVA.org:mdh-57431DiVA, id: diva2:1638410
Available from: 2022-02-16 Created: 2022-02-16 Last updated: 2022-03-18Bibliographically approved

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Carlsson, Linus

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