Felicia Magpantay and Kenzu Abdella
A TwoSpecies Model for a Fishing System with Marine Protected Areas
216 - 225
2008
2
4
International Journal of Marine and Environmental Sciences
https://publications.waset.org/pdf/5448
https://publications.waset.org/vol/16
World Academy of Science, Engineering and Technology
A model of a system concerning one species of demersal
(inshore) fish and one of pelagic (offshore) fish undergoing fishing
restricted by marine protected areas is proposed in this paper. This
setup was based on the FISHBE model applied to the Tabina fishery
in Zamboanga del Sur, Philippines. The components of the model
equations have been adapted from widelyaccepted mechanisms in
population dynamics. The model employs Gompertzs law of growth
and interaction on each type of protected and unprotected subpopulation.
Exchange coefficients between protected and unprotected
areas were assumed to be proportional to the relative area of the
entry region. Fishing harvests were assumed to be proportional to
both the number of fishers and the number of unprotected fish. An
extra term was included for the pelagic population to allow for the
exchange between the unprotected area and the outside environment.
The systems were found to be bounded for all parameter values. The
equations for the steady state were unsolvable analytically but the
existence and uniqueness of nonzero steady states can be proven.
Plots also show that an MPA size yielding the maximum steady state
of the unprotected population can be found. All steady states were
found to be globally asymptotically stable for the entire range of
parameter values.
Open Science Index 16, 2008