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Modeling and Simulation Method Comparison for the Lotka-Volterra Model

[+] Author Affiliations
Yasaman Vaghei, Yashar Sarbaz, Ahmad Ghanbari

Tabriz University, Tabriz, East Azerbaijan, Iran

Paper No. IMECE2013-64193, pp. V011T06A003; 7 pages
doi:10.1115/IMECE2013-64193
From:
  • ASME 2013 International Mechanical Engineering Congress and Exposition
  • Volume 11: Emerging Technologies
  • San Diego, California, USA, November 15–21, 2013
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-5640-6
  • Copyright © 2013 by ASME

abstract

The Lotka-Volterra or predator-prey models contain a pair of first order, non-linear, differential equations, which describe the dynamics of two species interaction in biological systems. Hence, accurate simulation strategies development for mentioned equations is crucial. In this paper, first, the presented model equations are simulated by ARX, ARMAX and BJ parametric models of the Identification Toolbox in MATLAB software. Afterwards, this simulation has been done in the Neural Network Toolbox by Feed-Forward and Elman networks with equal number of neurons, layers and same transfer functions. Finally, the results of these two simulations have been compared to introduce the best simulation methodology. It is shown that more accurate results are achieved by Elman network. In addition, the paper demonstrates that the simulation error can be decreased by simply increasing the number of these neural networks’ neurons.

Copyright © 2013 by ASME
Topics: Simulation , Modeling

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