LIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING

محورهای موضوعی : فصلنامه ریاضی

Vijaya Rekha Rekha ¹ (http://www.annamalaiuniversity.ac.in Department of mathematics,Annamalai university India Assistant professor, Department of Mathematics, Annamalai university.)

تاریخ دریافت : 1395/01/27 تاریخ پذیرش : 1395/01/27 تاریخ انتشار : 1394/01/01

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

چکیده مقاله :

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