International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 31, Pages 1981-1991

A nonlinear two-species oscillatory system: bifurcation and stability analysis

Malay Bandyopadhyay, Rakhi Bhattacharya, and C. G. Chakrabarti

Department of Applied Mathematics, University of Calcutta, Kolkatta 700 009, India

Received 20 January 2002

Copyright © 2003 Malay Bandyopadhyay et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The present paper dealing with the nonlinear bifurcation analysis of two-species oscillatory system consists of three parts. The first part deals with Hopf-bifurcation and limit cycle analysis of the homogeneous system. The second consists of travelling wave train solution and its linear stability analysis of the system in presence of diffusion. The last deals with an oscillatory chemical system as an illustrative example.