Stability analysis of a predator (bird) –prey (fish) harvesting model in the reserved and unreserved area
Authors :
Kulbhushan Agnihotri 1 * and Sheenu Nayyer 2
Author Address :
1 Departmentof Applied Sciences & Humanities, Shaheed Bhagat Singh State Technical Campus, Ferozepur, Punjab, India.
2 Research Scholar, IKGPTU, Kapurthala, Punjab, India.
*Corresponding author.
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; Global stability; Reserve-unreserved area; Holling type-$I$; Lyapunov function; MPAs.
DOI :
Article Info :
Received : August 24, 2018; Accepted : October 13, 2018.
