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Prey–Predator Mathematics Model for Fisheries Insurance Calculations in the Search of Optimal Strategies for Inland Fisheries Management: A Systematic Literature Review

Author

Listed:
  • Choirul Basir

    (Departement of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia)

  • Asep Kuswandi Supriatna

    (Departement of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia)

  • Sukono

    (Departement of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Sumedang 45363, Indonesia)

  • Jumadil Saputra

    (Departement of Economics, Faculty of Business and Social Development, Universiti Malaysia Terengganu, Kuala Nerus 21030, Malaysia)

Abstract

Fish stocking in inland fisheries involves a prey–predator interaction model so that the number of fish stocked affects optimal and sustainable yields. It is very important to make mathematical modeling to optimize inland fisheries management which is part of the blue economy. Currently, studies that focus on predator–prey mathematical modeling in inland fisheries, especially those related to insurance are lacking. The bibliometric database was taken from Google Scholar, Dimensions, Science Direct, and Scopus in the 2012–2022 research years. After further processing, it is displayed on the PRISMA diagram and visualized on VOSviewer to display the update of this research topic. As blue economy sustainability, the management of fisheries sector needs to be reviewed deeply. In this study, the assumptions of the predator–prey mathematical model are made to obtain the equilibrium point, maximum sustainable yield (MSY), and catch per unit effort (CPUE) values. These results can be used to calculate fisheries insurance as a strategy for optimizing sustainable fishermen’s income.

Suggested Citation

  • Choirul Basir & Asep Kuswandi Supriatna & Sukono & Jumadil Saputra, 2023. "Prey–Predator Mathematics Model for Fisheries Insurance Calculations in the Search of Optimal Strategies for Inland Fisheries Management: A Systematic Literature Review," Sustainability, MDPI, vol. 15(16), pages 1-14, August.
    • Handle: RePEc:gam:jsusta:v:15:y:2023:i:16:p:12376-:d:1217290
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    References listed on IDEAS

    as
    1. Vass, K.K. & Shrivastava, N.P. & Katiha, P.K. & Das, A.K., 2009. "Enhancing fishery productivity in small reservoir in India: technical manual," Monographs, The WorldFish Center, number 38629, April.
    2. Ghosh, Bapan & Kar, T.K., 2014. "Sustainable use of prey species in a prey–predator system: Jointly determined ecological thresholds and economic trade-offs," Ecological Modelling, Elsevier, vol. 272(C), pages 49-58.
    3. B. Dubey & Atasi Patra, 2013. "A Mathematical Model for Optimal Management and Utilization of a Renewable Resource by Population," Journal of Mathematics, Hindawi, vol. 2013, pages 1-9, January.
    4. Helmut Herwartz, 2022. "Modelling interaction patterns in a predator-prey system of two freshwater organisms in discrete time: an identified structural VAR approach," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(1), pages 63-85, March.
    5. Paul, Prosenjit & Kar, T.K., 2016. "Impacts of invasive species on the sustainable use of native exploited species," Ecological Modelling, Elsevier, vol. 340(C), pages 106-115.
    6. Kar, T.K. & Ghosh, Bapan, 2013. "Impacts of maximum sustainable yield policy to prey–predator systems," Ecological Modelling, Elsevier, vol. 250(C), pages 134-142.
    Full references (including those not matched with items on IDEAS)

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