IMPACT OF HARVESTING, NOISE AND DIFFUSION ON THE DYNAMICS OF A FOOD CHAIN MODEL WITH RATIO-DEPENDENT FUNCTIONAL RESPONSE III

Abstract

The current article is associated with impact of noise and harvesting of a three species eco system which consists of prey-predator–top predator with Holling classification III.  The stability of the given system is checked at the interior steady state and bionomial steady states are also evaluated.  Model formulation of the optimal harvesting policy is given and its solution is derived at interior steady state by using Pontryagins Maximum principle.  We also examined the population intensities of variations at the positive steady state due to environmental attribute, we have also highlighted the diffusive steadiness of the structure along with some numerical simulations.