Indian Journal of Industrial and Applied Mathematics
  • Year: 2017
  • Volume: 8
  • Issue: 2

Complexity Studies and Measures in Holling System of Type II with Stochasticity

1Professor, Department of Mathematics, Department of Computer Science Engineering, Shiv Nadar University, Chithera, Dadri, Gautam Budh Nagar-201314, Uttar Pradesh, India

2Final year student, Department of Computer Science Engineering, Shiv Nadar University, Chithera, Dadri, Gautam Budh Nagar, 201314, Uttar Pradesh, India

*(*Corresponding Author) E-mail-id: sv377@snu.edu.in

**lmsaha.msf@gmail.com

Abstract

Investigations on Holling system of type II has been investigated considering deterministic and stochastic types of the model. Stability analysis has been performed on the steady state solutions and bifurcation diagrams have been drawn to analyse the evolutionary character of the motion. Stochasticity plays significant role of evolution. Complexity in the system has been studied by measuring Lyapunov exponents, topological entropies and correlation dimensions. Graphics representing these measures reveal significant results.

Keywords

Chaos, Lyapunov exponents, Bifurcation, Topological entropy, 92D40