LIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING

Subject Areas : International Journal of Mathematical Modelling & Computations

Vijaya Rekha Rekha ¹

1 - http://www.annamalaiuniversity.ac.in Department of mathematics,Annamalai university India Assistant professor, Department of Mathematics, Annamalai university.

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2015-03-21

Keywords: Stability, harvesting, Predator prey model, optimal harvest policy, equilibrium point, Pontryagins maximum principle,

Abstract :

In this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of Routh harvest stability analysis. The problem of determining the optimal harvestpolicy is solved by invoking Pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined harvest eect as a dynamics variable