Computational Modelling of Dynamical System and the Type of Stability
Keywords:
Mathematical model, ODE45, Delay, Dynamical System, stabilityAbstract
Communication in Physical Sciences, 2023, 9(3):350-366
Authors: Eli Innocent Cleopas and Abanum Godspower Chukwunedum*
Received: 17 May 2023/Accepted 14 July 2023
The study of computational modeling of a dynamical system and the type of stability was investigated using ODE45 numerical techniques. Due to the decrease and increase of the growth rates of yeast species 1 and 2 otherwise called environmental perturbation on the prediction of the extent of the proportion decrease and increase in biodiversity. A biodiversity gain was observed when the growth rates increased together from 101% -150%. When growth rates are decreased together by 50%, it was also found that there is a biodiversity loss of yeast species. Finally, the region of instability was found since the pairs of eigenvalues are positive.
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