Effect of Discrete Time Delays On The Stability of
A Dynamical System

I. C. Eli; E. N. Ekaka-a

doi:https://doi.org/10.14445/22315373/IJMTT-V67I8P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 8 | Year 2021 | Article Id. IJMTT-V67I8P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I8P505

Effect of Discrete Time Delays On The Stability of A Dynamical System

I. C. Eli, E. N. Ekaka-a

Abstract

In this study, the effect of discrete time delays on the stability of a dynamical system was considered. On the implementation of the computational techniques called ODE15s, it is shown that the dynamical system is dominantly unstable. It is also observed from the results that as the discrete time delays is increased then the yeast species 2 (Candida Parapsilosis) dominates yeast species 1 (Candida Albican) which implies thatyeast species 2will drive yeast species 1into extinction.

Keywords

Time delays, stability, dynamical system and ODE15s.

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Citation :

I. C. Eli, E. N. Ekaka-a, "Effect of Discrete Time Delays On The Stability of A Dynamical System," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 8, pp. 45-49, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I8P505