IMPULSIVE SELECTIVE HARVESTING IN A LOGISTIC FISHERY MODEL WITH TIME DELAY

Abstract

In this work, we consider a logistic fishery model and discuss the selective impulsive harvesting of fish above a certain age or size by incorporating a time delay in the impulsive harvesting term. It is proved that there exists an asymptotically stable positive periodic solution [Formula: see text] when the catchability coefficient h is less than some critical value [Formula: see text]. It is concluded that [Formula: see text] and [Formula: see text] are increasing with respect to l. Simulations shows that the delayed harvesting is advantageous to the sustainability of the population.