Fractional order turbidostat model with the discrete delay of digestion

DOI10.1007/S40819-020-00845-YzbMath1464.34106OpenAlexW3034778645MaRDI QIDQ2657582

Senol Kartal, Ercan Balcı, Ilhan Ozturk

Publication date: 14 March 2021

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-020-00845-y

zbMATH Keywords

Caputo fractional derivativefractional delayed differential equationturbidostat system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Functional-differential equations with fractional derivatives (34K37) Stationary solutions of functional-differential equations (34K21)

Related Items (2)

Hopf bifurcation of a turbidostat model with nutrient recycling and multiple delay effects ⋮ The effect of delay interval on the feedback control for a turbidostat model

Uses Software

• sysdfod
• DFOC

Cites Work

• Fractional-order nonlinear systems. Modeling, analysis and simulation
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• Hopf bifurcation analysis of a turbidostat model with discrete delay
• Dynamic behaviors of a turbidostat model with Tissiet functional response and discrete delay
• Stability and Hopf bifurcation analysis of a fractional-order epidemic model with time delay
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Feedback control for chemostat models
• The role of fractional calculus in modeling biological phenomena: a review
• Dynamics of a delay turbidostat system with Contois growth rate
• Mean persistence and extinction for a novel stochastic turbidostat model
• Delayed feedback control for a chemostat model
• On linear stability of predictor–corrector algorithms for fractional differential equations
• Competition in a turbidostat for an inhibitory nutrient
• Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates

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