Selective harvesting in a two species fishery model

A two species combined harvesting fishery model with selective harvesting by incorporating a discrete time delay (τ) in harvesting age and size of both the species have been considered. It has been observed that the otherwise asymptotically stable system undergoes Hopf bifurcation for some value of τ > τ0 giving rise to a small amplitude oscillation around the non-zero equilibrium. Numerical analysis and computer simulation have been performed to investigate the global properties of the system.