Premium
Positive solution and stability of the unstirred chemostat with variable yield
Author(s) -
Liu Wen,
Li Yanling
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7376
Subject(s) - chemostat , mathematics , stability (learning theory) , variable (mathematics) , bifurcation theory , perturbation (astronomy) , yield (engineering) , bifurcation , control theory (sociology) , constant (computer programming) , mathematical analysis , thermodynamics , nonlinear system , physics , genetics , control (management) , management , quantum mechanics , machine learning , computer science , bacteria , economics , biology , programming language
In this paper, we are mainly concerned with the unstirred chemostat model with variable yield. We first study positive steady‐state solution and its stability of the model by bifurcation theory and the fixed point index theory. Then we focus on the model with perturbation on diffusion rates, nonconstant yield rate, and nonzero death rate to obtain the existence and stability of the unique positive solution, whenever the constants are perturbed from the critical point.