Title of article :
Limited Growth Prey Model and Predator Model Using Harvesting
Author/Authors :
Vijayaa, S Department of Mathematics - Annamalai University - Annamalai nagar - Tamil nadu, India , Rekha, E Department of Mathematics - Annamalai University - Annamalai nagar - Tamil nadu, India
Abstract :
Abstract.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 Pontryagin′s maximum principle dynamic optimization of the
harvest policy is studied by taking the combined harvest eect as a dynamics variable.
Keywords :
Pontryagin′s maximum principle , Equilibrium point , Optimal harvest policy , Stability , Harvesting , Predator prey model
Journal title :
Astroparticle Physics