Harvesting model for fishery resource with reserve area and modified effort function

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DOI:

https://doi.org/10.26637/mjm402/009

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

Mathematics Subject Classification:

92D25
  • Bhanu Gupta P.G. Department of Mathematics, JC DAV College, Dasuya - 144205, Punjab, India.
  • Amit Sharma P.G. Department of Mathematics, JC DAV College, Dasuya - 144205, Punjab, India.
  • Pages: 255-262
  • Date Published: 01-04-2016
  • Vol. 4 No. 02 (2016): Malaya Journal of Matematik (MJM)

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Published

01-04-2016

How to Cite

Bhanu Gupta, and Amit Sharma. “Harvesting Model for Fishery Resource With Reserve Area and Modified Effort Function”. Malaya Journal of Matematik, vol. 4, no. 02, Apr. 2016, pp. 255-62, doi:10.26637/mjm402/009.