Analytical Expressions for the Concentration of Substrate, Prey and Predator in Chemostat Model

Sathya Rajendran; Rasi Muthuramalingam; Rajendran Lakshmanan

Volume : IV, Issue : IV, April - 2014

Analytical Expressions for the Concentration of Substrate, Prey and Predator in Chemostat Model

Sathya Rajendran, Rasi Muthuramalingam, Rajendran Lakshmanan

Abstract :

Mathematical model of predator–prey interaction in a chemostat is discussed. In this paper, a new approach to Homotopy perturbation method is used to solve the non–linear differential equations in predator–prey systems. Using this method, the analytical expressions for the concentration of substrate, prey and predator have been obtained. An agreement between analytical and numerical results is noted.