Indian Journal of Industrial and Applied Mathematics
  • Year: 2019
  • Volume: 10
  • Issue: 1

On Ecosystem Models, Chaos and Complexity

  • Author:
  • L.M. Saha1,, Rashmi Bhardwaj2,, M.K. Das3,
  • Total Page Count: 7
  • Published Online: Jun 1, 2019
  • Page Number: 118 to 124

1IIIMIT, Department of Mathematics, Shiv Nadar University, Greater Noida, Uttar Pradesh, India

2University School of Basic & Applied Sciences, Non Linear Dynamics Research Lab, Guru Gobind Singh Indraprastha University, Dwarka, New Delhi, India Institute of Informatics & Communication, University of Delhi, South Campus, New Delhi, India

3Institute of Informatics & Communication, University of Delhi, South Campus, Delhi

*(*Corresponding author) E-mail: lmsaha.msf@gmail.com

Abstract

Ecosystem predator–prey discrete models have been studied to observe chaotic and complexities during their evolution. Predator–prey interaction based on age-structure of predator has been considered. Numerical simulations have been performed to measure Lyapunov exponents as measure of chaos and topological entropies as presence of complexities. In the processes, bifurcation diagrams for each case have been obtained which show the presence of complex structure in the systems.

Keywords

Chaos, Lyapunov Exponents, Bifurcation, Topological Entropy, 92D40