Dynamics in Discrete Time Prey-Predator System with Quadratic Harvesting on Prey
Madhusudanan .V1, Anitha .K2, Vijaya .S3, Gunasekran .M4

1Madhusudanan .V, Department of Mathematics S.A. Engineering College, Chennai, India.
2Anitha .K, Department of Mathematics S.A. Engineering College, Chennai, India.
3Vijaya .S, Department of Mathematics Annamalai university, Chidambaram, India.
4Gunasekran .M, Department of Mathematics Sri Subramaniya Swamy Government Arts College, Tiruttani, India.

Manuscript received on February 11, 2014. | Revised Manuscript received on February 15, 2014. | Manuscript published on February 25, 2014. | PP:48-51 | Volume-2 Issue-4, February 2014. | Retrieval Number: D0664022414/2014©BEIESP

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© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: This paper describes the Stability Analysis of Discrete time Prey-Predator on equilibrium and find the local Stability conditions near equilibrium points. A geometrical representation of the trajectories of dynamical system in the phase portraits are obtained for different set of parameter and time series for selective range of growth parameter are represented here. Harvesting activity of the Prey and Prey-Predator population are investigated through Chaotic Dynamic System. Times Series for both Prey and Predator separately analyzed for different values of harvesting.. Numerical Simulations are presented here for explaining complex dynamical behaviors of Bifurcation
Keywords: Prey-Predator system, Local Stability, Quadratic harvesting, Phase portraits