IJPAM: Volume 107, No. 2 (2016)
Department of Mathematics and Statistics
Faculty of Science and Technology
The University of the West Indies
St. Augustine, REPUBLIC OF TRINIDAD AND TOBAGO
Abstract. An attempt is made to treat company shares in the stock market as a dynamical eco-system using a modified three-dimensional form of the Lotka-Volterra model. Stability analysis is performed and numerical simulations of parameter values are used to investigate the dynamics of the system. This study shows that varying parameter values can affect whether the system remains stable or experiences bifurcations.
Received: January 20, 2016
AMS Subject Classification: 92D25
Key Words and Phrases: prey, predator, stability, Hopf bifurcations, stock market
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DOI: 10.12732/ijpam.v107i2.17 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 487 - 504