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A Mathematical Model for Harvesting in a Stage-Structured Cannibalistic System
Department of Mathematics and Statistics, Kyambogo University, Kampala, Uganda.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics.ORCID iD: 0000-0002-5328-9560
2022 (English)In: Springer Proc. Math. Stat., Springer , 2022, p. 735-751Conference paper, Published paper (Refereed)
Abstract [en]

To increase the production of proteins in East Africa, aquaculture gained increased attention recently. In this paper, we study the interactions of a consumer-resource system with harvesting, in which African Catfish (Gl ar i as gar i epi nus) consume a food resource. The cannibalistic behavior of African Catfish is captured by using a four stage-structured system. The dynamics of food resource and African Catfish result in a system of ordinary differential equations called a stage-structured fish population model. Existence and stability of steady states are analyzed quantitatively. We have investigated eight different harvesting scenarios which account for yield of the fish stock. Results from the simulations revealed that harvesting large juveniles and small adults under equal harvesting rates gives the highest maximum sustainable yield compared to other harvesting scenarios. In contrast to non-cannibalistic models, we find an increase of the proportion of the adult individuals under harvesting.

Place, publisher, year, edition, pages
Springer , 2022. p. 735-751
Keywords [en]
Fish population model, Harvesting rate, Fish, Fisheries, Ordinary differential equations, African catfishes, Consumer-resource systems, East Africa, Fish populations, Food resources, Population model, Stage structured, Structured systems, Harvesting
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:mdh:diva-64451DOI: 10.1007/978-3-031-17820-7_33Scopus ID: 2-s2.0-85171544053ISBN: 9783031178207 (print)OAI: oai:DiVA.org:mdh-64451DiVA, id: diva2:1802633
Conference
Springer Proceedings in Mathematics and Statistics
Available from: 2023-10-05 Created: 2023-10-05 Last updated: 2025-10-10Bibliographically approved

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Carlsson, Linus

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Citation style
  • apa
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  • de-DE
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  • nn-NO
  • nn-NB
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  • Other locale
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