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Title: Sustainable harvesting policies for a fishery model including spawning periods and taxation
Authors: Tawatchai Petaratip
Kornkanok Bunwong
Elvin J. Moore
Rawee Suwandechochai
Maejo University
Mahidol University
South Carolina Commission on Higher Education
King Mongkut's University of Technology North Bangkok
Keywords: Mathematics
Issue Date: 27-Feb-2012
Citation: International Journal of Mathematical Models and Methods in Applied Sciences. Vol.6, No.2 (2012), 411-418
Abstract: We consider a fishery model containing predator fish and prey fish in which the predators are the commercial fish. We also divide each year into a spawning period and a harvesting period. The modified Lotka-Volterra interspecific competition model is applied to the fisheries system in spawning periods while an additional variable, harvesting effort of fishermen, is introduced to the system during the harvesting period. The existence of steady state solutions and closed orbits are theoretically studied and the local and global stabilities of steady state solutions are also studied. The fisheries population dynamics, total revenue earned by government and fishermen are investigated numerically for a range of taxation levels and a range of limits imposed on maximum fishing effort.
ISSN: 19980140
Appears in Collections:Scopus 2011-2015

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