ANZIAM J.
46 (2004), 299-308
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A bioeconomic model of nonselective harvesting of two competing fish species
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Abstract
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This paper deals with the combined bioeconomic
harvesting of two competing fish species, each of
which obeys the Gompertz law of growth. The
catch-rate functions are chosen so as to reflect
saturation effects with respect to stock
abundance as well as harvesting effort. The
stability of the dynamical system is discussed
and the existence of a bionomic equilibrium is
examined. The optimal harvest policy is studied
with the help of Pontryagin's maximum principle.
The results are illustrated with the help of a
numerical example.
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