Dynamical analysis in a harvested prey predator model with density dependent maturation delay

In this paper, a stage-structured prey predator model with density dependent maturation delay for prey population is proposed, where selective harvest effort on predator population is considered. Existence and uniqueness of all biologically reasonable equilibria of model system are studied. In order to investigate dynamic effects of maturation delay and harvesting on model dynamics, global stability analysis around predator free equilibrium are discussed. Furthermore, maturation delay to preserve stability increases with the introduction of harvest effort on predator population, which reveals that harvesting has a stabilizing effect on population dynamics. Finally, numerical simulations are carried out to show consistency with theoretical analysis.