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

Author

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  • Malay Bandyopadhyay
  • Rakhi Bhattacharya
  • C. G. Chakrabarti

Abstract

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.

Suggested Citation

  • Malay Bandyopadhyay & Rakhi Bhattacharya & C. G. Chakrabarti, 2003. "A nonlinear two-species oscillatory system: bifurcation and stability analysis," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:617217
    DOI: 10.1155/S0161171203201174
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    Cited by:

    1. Kolade M. Owolabi & Sonal Jain & Edson Pindza, 2024. "Investigating the Dynamic Behavior of Integer and Noninteger Order System of Predation with Holling’s Response," Mathematics, MDPI, vol. 12(10), pages 1-27, May.

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