Abstract
This study presents a bioeconomic model of prey-predator interactions incorporating the presence of refuges for prey species to mitigate predation. The main objective is to assess the impact of prey refuges on prey biomass, predator biomass, catches, fishing effort, and profits for fishermen exploiting these marine species. The model analyzes system positivity and boundedness, examines equilibrium points and their stability, and conducts numerical simulations by varying the refuge availability parameter (m) to interpret the effects on fishing effort, catches, and profits across different scenarios. The findings shed light on the dynamics of the ecosystem and highlight the importance of refuge availability in sustainable fisheries management, supporting the conservation of marine resources and the well-being of fishermen.
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References
Agmour I, Bentounsi M, Baba N et al (2020) Impact of wind speed on fishing effort. Model. Earth Syst. Environ. 6:1007–1015. https://doi.org/10.1007/s40808-020-00736-7
Baba N, Agmour, I., El Foutayeni, Y. et al. The Tide Effects on Bioeconomic Model of Sardina pilchardus, Engraulis encrasicolus and Xiphias gladius in Atlantic Moroccan Zone. Earth Syst Environ 6, 295–305. https://doi.org/10.1007/s41748-021-00227-4
Baba N, Agmour I, El Foutayeni Y, Achtaich N (2021) Bioeconomic-Epidemiological Model of Scomber colias Population in the Moroccan Coasts", Journal of Applied Mathematics, vol. 2021, Article ID 8892388, 22 pages. https://doi.org/10.1155/2021/8892388
Bendahou FE, Baba N, El Foutayeni Y, Achtaich N (2023) Impact of pollution on sardine, sardinella, and mackerel fishery: a bioeconomic approach, Commun. Math. Biol. Neurosci 2023, Article ID 55
Cressman R, Garay J (2009) A predator-prey refuge system: Evolutionary stability in ecological systems. Theor Popul Biol 76(4):248–57. https://doi.org/10.1016/j.tpb.2009.08.005
ELFoutayeni Y, Khaladi M, ZEGZOUTI A (2012) A generalized Nashequilibrium for a bioeconomic porblem of fishing, Studia InformaticaUniversalis-HERMANN 10:186–204
ELFoutayeni Y, Modélisation et étude mathématique et informatique d’un modèle bioéconomique d’exploitation d’espèces marines en compétition, thèse Université Cadi Ayyad, Marrakech Maroc
Issues in Ecosystem Ecology: 2011 Edition. Scholarly Editions. 2012. pp. 464–465. ISBN 978-1-4649-6482-4
Khan AQ (2023) Alsulami IM (2023) Complicate dynamical analysis of a discrete predator-prey model with a prey refuge[J]. AIMS Mathematics 8(7):15035–15057. https://doi.org/10.3934/math.2023768
Manaf ZI, Mohd MH (2022) Dynamical System Analysis of the Prey-predator Interactions involving Prey Refuge and Herd Behaviors in Preys. Malaysian Journal of Fundamental and Applied Sciences, Vol. 18:105–115. https://doi.org/10.11113/mjfas.v18n1.2415
Murty KG (1971) On a characterization of P-matrices. SIAM J Appl Math 20:378–383
Rassweiler A, Costello C, Siegel DA (2012) Marine protected areas and the value of spatially optimized fishery management. Proc Natl Acad Sci 109(29):11884–11889. https://doi.org/10.1073/pnas.1116193109
Ricketts EF, Calvin J, Hedgpeth JW, Phillips DW (1985) Between Pacific Tides. Stanford University Press. p. 477
Sih A (1987) Prey refuges and predator-prey stability. Theor Popul Biol 31:1–12. https://doi.org/10.1016/0040-5809(87)90019-0
Stephano MA, Jung H (2021) Stability of the Prey-Predator Model Subject to Immigrants: A Mathematical Modelling Approach.Vol. 47 No. 4. https://doi.org/10.4314/tjs.v47i4.4
Takyi EM, Cooper K, Dreher A, McCrorey C (2023) Dynamics of a Predator-Prey System with Wind Effect and Prey Refuge. Journal of Applied Nonlinear Dynamics 12(3):427–440. https://doi.org/10.5890/JAND.2023.09.001
Tolon V, Martin J, Dray S, Loison A, Fischer C, Baubet E (2012) Predator-prey spatial game as a tool to understand the effects of protected areas on harvester-wildlife interactions. Ecol Appl 22(2):648–57. https://doi.org/10.1890/11-0422.1
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Bendahou, F.E., Baba, N., Hafdane, M. et al. Bioeconomic assessment of refuge availability under various scenarios: impact on species biomass, fishing effort, and profits. J Coast Conserv 28, 46 (2024). https://doi.org/10.1007/s11852-024-01039-0
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DOI: https://doi.org/10.1007/s11852-024-01039-0