Dynamical behaviour of single photobioreactor with variable yield coefficient.

Md Shariful Islam, Touhid Hossain, Mir Shariful Islam, Bidyut Baran Saha

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Article in Heliyon, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

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1citing papers in PubMed

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1 citing paper in PubMed.

Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear harvesting on juvenile population.Heliyon · 2023
Article

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5 · Who and what money

Authors and funding

4 authors.

Md Shariful IslamDepartment of Mathematics, University of Dhaka, Bangladesh.

Touhid HossainDepartment of Mathematics, University of Dhaka, Bangladesh.

Mir Shariful IslamMechanical Engineering Department, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan.

Bidyut Baran SahaMechanical Engineering Department, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819-0395, Japan.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Scholars studied chemostat model with variable yield coefficient and a growth rate in Monod expression for the existence of natural oscillations in a bioreactor. This article explores dynamical properties of a similar simple model, analytically and numerically, in which the growth rate is a modified Haldane expression. Study includes determination of analytic conditions for existence of steady-state washout and no washout solutions, optimization of the performance of the bioreactor when no washout solution occurs, stability of the optimized steady state solution, and the ranges of the parameter values for which natural oscillations (Hopf Bifurcation) take place. Investigation shows that it is possible to gain natural oscillations for much smaller values of the substrate concentration compared to Monod-based earlier works.

Indexed as

BifurcationBioreactorChemostat modelModified haldane modelResidence time

Identifiers

PMID36590535

DOI10.1016/j.heliyon.2022.e12187

PMCPMC9794888

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.