Dynamical Behaviour of Prey Predators Model with Time Delay


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Authors

  • A. V. Paparao Department of Mathematics, JNTUK, UCE Vizianagaram, Andhra Pradesh, India
  • N.V.S.R.C. Murty Gamini Department of S & H, BVCITS, Batlapalem, Amalapuram, Andhra Pradesh, India

Keywords:

Equilibrium points, Local stability, Global stability, Time delay

Abstract

This paper describes a Prey and Two predators Ecological model. Continuous type gestational delay is incorporated in the interaction of Prey and first predator is taken for investigation. The system dynamics is studied at its equilibrium points. We construct a suitable Lyapunov function for global stability. The effect of Time delay on the dynamical behiviour of the system is studied. Using Numerical simulation, it is shown that the delay arguments with different kernels exhibit rich dynamics.

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Published

15-09-2018

How to Cite

A. V. Paparao, & N.V.S.R.C. Murty Gamini. (2018). Dynamical Behaviour of Prey Predators Model with Time Delay. International Journal of Mathematics And Its Applications, 6(3), 27–37. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/357

Issue

Vol. 6 No. 3 (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.