Control of Dissipative Dynamics in a Novel Biological Chaotic System

Prof Ayub Khan; Dr Pardeep kumar; Govind Kumar Jha; Sarita Jha; Tripti Anand

doi:10.5269/bspm.77835

Prof Ayub Khan Department of Mathematics Jamia Millia Islamia University, Delhi India
Dr Pardeep kumar Indraprastha College for Women
Govind Kumar Jha Department of Mathematics, Vinoba Bhave University, Hazaribag Jharkhand, India.
Sarita Jha Department of Mathematics, KB Women College, Hazaribag Jharkhand, India.
Tripti Anand Department of Mathematics, Shyama Prasad Mukherji College for Women, University of Delhi, India

Abstract

In this study, we have demonstrated a novel procedure to model and control dissipative behaviour
in biological systems by setting up synchronization and anti-synchronization between two non-identical nonlinear
dynamical systems: one exhibiting tumour cell proliferation and the other capturing activity among
environmental bacteria, viruses, and temperature. By designing the nonlinear controller through active control
strategies, we have managed the chaotic nature of the trajectories of these systems. This work offers insights
into temperature-sensitive therapeutic strategies and microbial applications in biomedicine.

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Author Biographies

Prof Ayub Khan, Department of Mathematics Jamia Millia Islamia University, Delhi India

Professor in the Department

Govind Kumar Jha, Department of Mathematics, Vinoba Bhave University, Hazaribag Jharkhand, India.

Head in the Department

Sarita Jha, Department of Mathematics, KB Women College, Hazaribag Jharkhand, India.

Assistant Professor

Tripti Anand, Department of Mathematics, Shyama Prasad Mukherji College for Women, University of Delhi, India

Associate Professor