Continuous dynamical systems approach to analyzing quadratic stochastic operators
Authors
M. Zannon
- Department of Mathematical, Faculty of Science, Tafila Technical University, P.O. Box 179, zip code 66110, Tafila, Jordan.
Abstract
This paper investigates the behavior of quadratic stochastic operators using continuous dynamical systems. The Euler method is applied to convert a discrete system into a continuous one, and numerical methods are used to solve the resulting differential equations. The operator is defined in a two-dimensional simplex and the dynamics are analyzed by dividing the simplex into six regions. The results show that the dynamic of the operator is dependent on the value of a specific parameter. The use of continuous dynamical systems is shown to be an effective method for understanding the behavior of quadratic stochastic operators.
Share and Cite
ISRP Style
M. Zannon, Continuous dynamical systems approach to analyzing quadratic stochastic operators, Journal of Mathematics and Computer Science, 39 (2025), no. 1, 11--29
AMA Style
Zannon M., Continuous dynamical systems approach to analyzing quadratic stochastic operators. J Math Comput SCI-JM. (2025); 39(1):11--29
Chicago/Turabian Style
Zannon, M.. "Continuous dynamical systems approach to analyzing quadratic stochastic operators." Journal of Mathematics and Computer Science, 39, no. 1 (2025): 11--29
Keywords
- Quadratic stochastic operators
- continuous dynamical systems
- Euler method
- numerical methods
MSC
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