Computational Modelling of Dynamical System and the Type of Stability

Abstract

Eli Innocent Cleopas and Abanum Godspower Chukwunedum

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.