Harvesting on Facultative Mutualist Prey Species in Presence of a Predator

Abstract

This paper proposes a model with two preys of facultative mutualist type and one predator. Linear predation functions are considered and preys are only considered to be harvested. The stability of the model is analyzed theoretically and numerically in this paper. The optimal harvest policy is studied and the solution is derived in the interior equilibrium case using Pontryagin’s maximum principle. Finally, some numerical simulations are discussed.