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Mathematics as a Tool for Efficient Fishery Management and Economic Growth in Gashua, Yobe State, Nigeria
Mathematical Modelling and Applications
Volume 5, Issue 3, September 2020, Pages: 138-145
Received: May 4, 2020; Accepted: May 25, 2020; Published: Jun. 16, 2020
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Anthony Anya Okeke, Department of Mathematics, Faculty of Science, Federal University Gashua, Gashua, Nigeria
Ahmed Dauda Abubakar, Department of Mathematics, Faculty of Science, Federal University Gashua, Gashua, Nigeria
Jerimiah Jerry Gambo, Department of Mathematics, Faculty of Science, Federal University Gashua, Gashua, Nigeria
Phidelia Ramatu Waziri-Ugwu, Department of Agricultural Economics & Extension, Faculty of Agriculture, Federal University Gashua, Gashua, Nigeria
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In this research, we propose the use of mathematical models in determining harvesting strategies for fish farming. The work considered three logistic growth models, namely constant harvesting, periodic harvesting, and proportional harvesting model. For each of the scheme, it is estimated the optimal amount of fish harvested to protect the population from extinction. The data for this work are obtained from fish owners of selected pond in Bade (Gashua). Although, fish farming has been commercialized in Bade but there is little or no literature available in studying fish harvesting strategies. The Logistic model is appropriate for population growth of fishes when overcrowding and competition for the resource are taken into consideration. The objectives of the study where to estimate the highest continuing yield from fish harvesting strategies implemented. We compare the results obtained between the three strategies and observed the best harvesting strategy for the selected fish farm is periodic (seasonal) harvesting. The periodic harvesting strategy optimizes the harvest while maintaining stable the population of fish if the harvesting is lower or equal with the bifurcation point. Our findings can assist fish farmers in Bade, Yobe State, North East Nigeria, to increase fish supply to meet its demand and positively affect the economic growth of the area.
Biomathematics, Fishery Management, Logistic Growth Models, Harvesting, Periodic
To cite this article
Anthony Anya Okeke, Ahmed Dauda Abubakar, Jerimiah Jerry Gambo, Phidelia Ramatu Waziri-Ugwu, Mathematics as a Tool for Efficient Fishery Management and Economic Growth in Gashua, Yobe State, Nigeria, Mathematical Modelling and Applications. Vol. 5, No. 3, 2020, pp. 138-145. doi: 10.11648/
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