LIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING

International Journal of Mathematical Modelling & Computations

مقاله 2، دوره 5، 4 (FALL)، فروردین 2015، صفحه 307-318   

نویسنده

Vijaya Rekha Rekha

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

چکیده

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

کلیدواژه‌ها

Predator prey model؛ harvesting؛ Stability؛ optimal harvest policy؛ equilibrium point؛ Pontryagins maximum principle