Abstract
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.
Highlights
Fishery business has become an enterprise cherished by the Yobe State Government, most especially in the ancient city of Bade (Gashua)
The data for this research has been obtained from the primary source from fish owners of the selected pond in Bade (Gashua), Yobe State
The value H = 11,475 is called the bifurcation point, and at this point we considered three values of harvesting: 1. H = 11475 2
Summary
Fishery business has become an enterprise cherished by the Yobe State Government, most especially in the ancient city of Bade (Gashua). It is a known fact that fish is one of the chief sources of human diet and the main source of protein and fat [1]. Fisheries around the world make essential contributions to human wellbeing, providing basic food supplies, employment, livelihoods, recreational opportunities, sources of a foreign currency or recreational opportunities for hundreds of millions of people. According to [4], the fish available for human consumption comes either from the ocean or the sea but the natural supply cannot satisfy the human needs. Aquaculture production is playing an increasing role in satisfying demand for human consumption of fish and fishery products. Fisheries, in general, provide many benefits to human beings and overfishing can reduce the fish stock or business of reproductive age below sustainability
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