Stability and bifurcation in a diffusive prey-predator system: non-linear bifurcation analysis

  • Authors:

  • Rakhi Bhattacharya;Malay Bandyopadhyay;Sandip Banerjee

  • Affiliations:

  • Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata, India;Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata, India;Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata, India

  • Venue:
  • The Korean Journal of Computational & Applied Mathematics
  • Year:
  • 2002

Quantified Score

Hi-index 0.00

Visualization

Abstract

A stability analysis of a non-linear prey-predator system under the influence of one dimensional diffusion has been investigated to determine the nature of the bifurcation point of the system. The non-linear bifurcation analysis determining the steady state solution beyond the critical point enables us to determine characteristic features of the spatial inhomogeneous pattern arising out of the bifurcation of the state of the system.