Wavelet Analysis of Bifurcation in a Competition Model

  • Authors:
  • Carlo Cattani;Ivana Bochicchio

  • Affiliations:
  • University of Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy;University of Salerno, Via Ponte Don Melillo, 84084 Fisciano (SA), Italy

  • Venue:
  • ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
  • Year:
  • 2007

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Abstract

A nonlinear dynamical system which describes two interacting and competing populations (tumor and immune cells) is studied through the analysis of the wavelet coefficients. The wavelet coefficients (also called detail coefficients) are able to reproduce the behaviour of the function, and, being sensible to local changes, are strictly related to the differentiable properties of the function, which cannot be easily derived from the numerical interpolation. So the main features of the dynamical system will be given in terms of detail coefficients that are more adapted to the description of a nonlinear problem.