Study on Stability Convergence Rate of Chemostat Model of a Kind of Organism

Yang He; Yanhui Zhain

doi:https://doi.org/10.14445/22315373/IJMTT-V65I9P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 9 | Year 2019 | Article Id. IJMTT-V65I9P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I9P502

Study on Stability Convergence Rate of Chemostat Model of a Kind of Organism

Yang He , Yanhui Zhain

Abstract

This paper studies the chemostat model of a kind of organism by using time-delay system stability switching geometric criterion method, discusses the stability and α -stability of the model, and verifies the accuracy and validity of the conclusions by numerical simulation, finally compares the differences and connections between the two stability.

Keywords

Delay;Stability; α- stability;Characteristic equation;Stability switching geometriccriterionmethod.

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Citation :

Yang He , Yanhui Zhain, "Study on Stability Convergence Rate of Chemostat Model of a Kind of Organism," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 9, pp. 6-13, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I9P502