Harvesting Model for Fishery Resource with Reserve Area and Modified Effort Function
Authors :
Bhanu Gupta a and Amit Sharmaa,*
Author Address :
a P.G. Department of Mathematics, JC DAV College, Dasuya - 144205, Punjab, India.
*Corresponding author.
Abstract :
The aim of this paper is to study the dynamics of fishery resource system in an aquatic region consisting of two zones. One zone is free for fishing and other is restricted for any kind of fishing. In the proposed harvesting model, a modified effort function E is considered, which depends on the density effect of fish population. The criteria for local stability, global stability and instability are established for the proposed system. The theoretical results obtained are illustrated with numerical simulations in the last section.
Keywords :
Fishery resource, Fishery effort, Stability, Harvesting.
DOI :
Article Info :
Received : August 31, 2015; Accepted : March 15, 2016.
