Predator Harvesting in Systems with One Predator and Two Prey Habitats

Abstract

Harvesting of the predator in systems consisting of one predator and two preys where the preys live in two different habitats is considered. It is assumed that the prey species have resources in abundance and the predator specie is able to switch to the most abundant prey specie. We consider two types of predator harvesting. One is when we harvest a fixed amount of predators (constant harvest quota) and the other is when we harvest a fixed percentage of the predators (constant harvest effort). Stability analysis is carried out and hypothetical cases are used to support our analysis.