Indian Journal of Industrial and Applied Mathematics
  • Year: 2017
  • Volume: 8
  • Issue: 1

Chaos Synchronisation of a Chaotic Tumour Growth and Decay Model

1Department of Mathematics, Jamia Millia Islamia, New Delhi, 110025, India

*akhan12@jmi.ac.in

**(*Corresponding Author) E-mail-id: artityagi28@gmail.com;

Abstract

The active control method has been employed to discuss and verify the complete and anti-synchronisation between the two identical chaotic tumour growth and decay models. During the investigation, analytic and computational techniques have been used. For different values of growth and decay parameters, complete synchronisation and anti-synchronisation between the considered systems have been achieved. Most significantly, the analytic and computational results are in an excellent agreement. This manuscript provides significant mathematical description to devise the sophisticated experimental mechanism for the treatment of tumour growth.

Keywords

Tumor growth and decay model, Chaos, Complete synchronization, Anti synchronization, Time series, Error, Lyapunov stability theorem