Stability analysis of a predator (bird) -prey (fish) harvesting model in the reserved and unreserved area

Kulbhushan Agnihotri; Sheenu Nayyer

doi:10.26637/MJM0603/0032

Abstract

The extreme and unsustainable abuse of marine assets needs to prompt the advancement of a marine reserve as a fisheries management instrument. In this paper, a prey-predator fishery model in existence of bird predator with prey dispersal in a two-patch environment has been proposed and examined. Holling type-I predator functional response to prey density has been considered for this research work. The harvesting is applied on prey in an unreserved area as well as on predator due to a commercial value. The dynamics of the proposed framework has been examined locally as well as globally. Finally, theoretical results so acquired have been confirmed with the support of numerical simulations through MATLAB.

Keywords:

Prey-predator, Lyapunov function, MPAs., Global stability, Reserve-unreserved area, Holling type-I

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Kulbhushan Agnihotri Departmentof Applied Sciences & Humanities, Shaheed Bhagat Singh State Technical Campus, Ferozepur, Punjab, India https://orcid.org/0000-0002-1001-476X
Sheenu Nayyer Research Scholar, IKGPTU, Kapurthala, Punjab, India.

Pages: 678-684
Date Published: 01-07-2018
Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

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