Dynamics of an intraguild predation system with optimal foraging and harvesting

In this manuscript, we construct an intraguild predation system based on optimal foraging theory in the presence of harvesting. The basal resource is considered as more profitable prey for the super predator (intraguild (IG)-predator), and the attacking probabilities of the IG-predator to the prey species are taken as the foraging strategy of the super predator. The underlying conditions for switching the foraging strategy depending on prey densities are determined with the aid of fitness function. The resulting dynamics of the harvesting intraguild system are compared from two perspectives: one is with fixed foraging, and the other is with optimal foraging strategy. The effects of system parameters in the occurrence of Hopf bifurcation are depicted numerically by adopting some fixed foraging strategies. Some numerical simulations have been used to describe the fascination of the system's dynamics, including the occurrence of partial preference, periodic coexistence, and extinction of intermediate prey with optimal foraging strategy.