• STABILITY ANALYSIS OF TWO COMPETITIVE INTERACTING SPECIES WITH OPTIMAL AND BIONOMIC HARVESTING OF THE FIRST SPECIES

Abstract

This paper deals with two species competitive model and optimal harvesting of the first species under bionomic conditions. The model is characterized by couple of first order non-linear ordinary differential equations. All the four equilibrium points are identified and their local stability is discussed. Solutions for the linearized perturbed equations are found. The conditions for global stability of the system are derived by using Liapunov function. Biological and Bionomical equilibria of the system are derived. Mathematical formulation of the optimal harvesting policy is given and its solution is derived by using Pontryagin’s maximum principle.