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

Sathya Rajendran, Rasi Muthuramalingam, Rajendran Lakshmanan
2011 Indian Journal Of Applied Research  
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.
doi:10.15373/2249555x/apr2014/115 fatcat:eduxzuhxkbfehbyeoo3t47qtce