Numerical Simulation of the Effect of with or without Low Random Perturbation and the Choice of Stability of a Dynamical System
I. C. Eli *
Department of Mathematics and Statistics, Federal University Otuoke, Yenagoa, Nigeria.
Godspower C. Abanum
Department of Mathematics and Statistics, Ignatius Ajuru University of Education, Port Harcourt, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we employed numerical techniques of order 45 (ODE45) to investigate the effect of with or without low random perturbation on the choice of stability of a dynamical system. The results show that in the absence of low random perturbation, the chosen dynamical system is dominantly stable with a coexistence steady state solution though on the inclusion of low random perturbation the dynamical system still maintain stability with the steady state solution which simply implies that over time that yeast specy two will drive yeast specy one into extinction.
Keywords: Mathematical model, ODE45, low random perturbation, coexistence and stability