Dynamic exploration and control of bifurcation in a fractional-order Lengyel-Epstein model owing time delay

DOI10.46793/match.92-2.437lzbMATH Open1544.92244MaRDI QIDQ6562223

Jing Ren, Chang-Jin Xu, Unnamed Author, Pei-Luan Li

Publication date: 26 June 2024

Published in: MATCH - Communications in Mathematical and in Computer Chemistry (Search for Journal in Brave)

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18) Functional-differential equations with fractional derivatives (34K37)

Cites Work

• Unnamed Item
• Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions
• Steady states and dynamics of an autocatalytic chemical reaction model with decay
• Hopf bifurcations in Lengyel-Epstein reaction-diffusion model with discrete time delay
• Stability and bifurcation analysis for a fractional prey-predator scavenger model
• Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
• Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge
• Reactive \(n\)-species Cahn-Hilliard system: a thermodynamically-consistent model for reversible chemical reactions
• Bifurcation and control of chaos in a chemical system
• Dynamic analysis and Hopf bifurcation of a Lengyel-Epstein system with two delays
• Stability of spatial patterns in a diffusive oxygen-plankton model with time lag effect
• Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative
• Dynamics of fractional-order delay differential model of prey-predator system with Holling-type III and infection among predators
• Effects of fear in a fractional-order predator-prey system with predator density-dependent prey mortality
• Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator-prey model
• Analysis on bifurcation and stability of a generalized Gray-Scott chemical reaction model
• Multiple stability switches and Hopf bifurcations induced by the delay in a Lengyel-Epstein chemical reaction system
• On the positivity of an auxiliary function of the BGK model for slow chemical reactions
• Hopf bifurcation analysis of a system of coupled delayed-differential equations
• Dynamics of a delayed toxin producing plankton model with variable search rate of zooplankton
• Mittag-Leffler stability and synchronization of neutral-type fractional-order neural networks with leakage delay and mixed delays
• New insight into bifurcation of fractional-order 4D neural networks incorporating two different time delays
• A chemical approach to designing Turing patterns in reaction-diffusion systems.
• HOPF BIFURCATION CONTROL USING NONLINEAR FEEDBACK WITH POLYNOMIAL FUNCTIONS
• Comparative exploration on bifurcation behavior for integer-order and fractional-order delayed BAM neural networks
• Delay Effects on the Dynamics of the Lengyel–Epstein Reaction-Diffusion Model
• Turing patterns in the Lengyel-Epstein system for the CIMA reaction
• Mathematical modelling of plankton-oxygen dynamics under the climate change
• Fractional-order discontinuous systems with indefinite LKFs: an application to fractional-order neural networks with time delays
• Stabilization of distributed systems via bilinear boundary control

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