Paper Info
Title
Analysis Of Prey-Predator Three Species Fishery Model With Harvesting Including Prey Refuge And Migration
Abstract
In this article, a prey-predator system with Holling type II functional response for the predator population including prey refuge region has been analyzed. Also a harvesting effort has been considered for the predator population. The density-dependent mortality rate for the prey, predator and super predator has been considered. The equilibria of the proposed system have been determined. Local and global stabilities for the system have been discussed. We have used the analytic approach to derive the global asymptotic stabilities of the system. The maximal predator per capita consumption rate has been considered as a bifurcation parameter to evaluate Hopf bifurcation in the neighborhood of interior equilibrium point. Also, we have used fishing effort to harvest predator population of the system as a control to develop a dynamic framework to investigate the optimal utilization of the resource, sustainability properties of the stock and the resource rent is earned from the resource. Finally, we have presented some numerical simulations to verify the analytic results and the system has been analyzed through graphical illustrations.
Year
DOI
Venue
2016
10.1142/S021812741650022X
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
Field
DocType
Prey-predator fishery, harvesting, optimal control, local and global stabilities, Hopf bifurcation
Population,Fishery,Predation,Functional response,Per capita,Resource rent,Predator,Mathematics,Apex predator,Hopf bifurcation
Journal
Volume
Issue
ISSN
26
2
0218-1274
Citations 
PageRank 
References 
3
1.08
3
Authors
2
Name
Order
Citations
PageRank
Sankar Kumar Roy110414.63
Banani Roy231.41