2022
DOI: 10.3390/pr10122571
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Stability Analysis of a Chemostat Model for Phenol and Sodium Salicylate Mixture Biodegradation

Abstract: In this paper we consider a mathematical continuous-time model for biodegradation of phenol in the presence of sodium salicylate in a chemostat. The model is described by a system of three nonlinear ordinary differential equations. Based on the dynamical systems theory we provide mathematical investigations of the model including local and global analysis of the solutions. The local analysis consist in computation of two equilibrium points—one interior and one boundary (washout) equilibrium—in dependance of th… Show more

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Cited by 1 publication
(2 citation statements)
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References 38 publications
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“…Figures 8 and 9 illustrate the dynamic behavior of the model using the initial data in the set P 2 (0) = {(84, 11, 21), (11, 0.1, 25), (15,4,38), (20,…”
Section: Dynamicsmentioning
confidence: 99%
See 1 more Smart Citation
“…Figures 8 and 9 illustrate the dynamic behavior of the model using the initial data in the set P 2 (0) = {(84, 11, 21), (11, 0.1, 25), (15,4,38), (20,…”
Section: Dynamicsmentioning
confidence: 99%
“…Among the rich literature we can mention e. g. the books [11,12]. Using D as a control parameter is considered in [13][14][15] and applied to a bioreactor model for simultaneous degradation of phenol and pcresol [13,14] as well as of phenol and SA mixture [15] in industrial wastewater.…”
Section: Introductionmentioning
confidence: 99%