Complex Effects in Dynamics of Prey-Predator Model with Holling Type II Functional Response
Vijaya Lakshmi. G. M1, Vijaya S.2, Gunasekaran M.3

1Vijaya Lakshmi. G. M., Department of Mathematics, Indira Institute of Engineering and Technology, Thiruvallur-631 203.
2Vijaya S., Department of Mathematics, Annamalai university, Chidambaram-608 002
3Gunasekaran M., Department of Mathematics, Sri Subramaniya Swamy Government Arts College, Tiruttani-631 209

Manuscript received on January 11, 2014. | Revised Manuscript received on January 15, 2014. | Manuscript published on January 25, 2014. | PP:33-37 | Volume-2 Issue-3, January 2014. | Retrieval Number: C0640012314/2014©BEIESP

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Abstract: In this article, we study the discrete time prey-predator model by using Nicholson Bailey model (NB model) with Holling type II functional response. NB model with Holling type II is applied to know the Prey-predator dynamical system and investigated the fixed points and stability analysis. Graphs are drawn for different intrinsic growth rate to notice the effects of competitions for biologically reasonable range of parameter values. The stable existence of axial and interior fixed points of prey-predator is shown under different parameter values. Numerical simulations not only illustrate the results but also they exhibit the complex dynamic behaviours of the model.
Keywords: Prey-predator system, Nicholson-Bailey model, Holling type II functional response, Stability analysis.