Journal of Advances in Applied Mathematics

Download PDF (723.2 KB) PP. 124 - 131 Pub. Date: April 12, 2016

DOI: 10.22606/jaam.2016.12005

• Nita H. Shah^*
  Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India
• Bijal M. Yeolekar
  Department of Mathematics, Gujarat University, Ahmedabad, 380009, Gujarat, India

The dynamics of a fishery resource system is formulated for fish harvesting with effort and price-sensitive demand. The model considers deterioration as damage during catchability. It is assumed that the supply is instantaneous. The system of non-linear differential equations is formulated and solved to determine the non-trivial equilibrium. The conditions for stability of equilibria are worked out. The numerical data are used to support theoretical results derived.

Fishery harvesting, effort, price-sensitive demand, deterioration, stability

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