Stability and Bifurcation Analysis of Cyclic Genetic Regulatory Networks with Mixed Time Delays

DOI10.1137/140954131zbMath1418.34068OpenAlexW2093356806MaRDI QIDQ5250027

Rui-Quan Liao, Xin-Ming Cheng, Guang Ling, Zhi-Hong Guan

Publication date: 15 May 2015

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140954131

zbMATH Keywords

Hopf bifurcationstability criteriaperiodic oscillationsmixed time delayscyclic genetic regulatory networks

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (14)

Bifurcation and Turing instability for genetic regulatory networks with diffusion ⋮ Event-based cluster synchronization of coupled genetic regulatory networks ⋮ Dynamic analysis of the time-delayed genetic regulatory network between two auto-regulated and mutually inhibitory genes ⋮ Robust stability analysis of LTI systems with fractional degree generalized frequency variables ⋮ Bifurcations and chaos of a discrete-time model in genetic regulatory networks ⋮ State bounding and controller design for genetic regulatory networks with multiple delays and bounded disturbances ⋮ Stochastic quasi-synchronization of heterogeneous delayed impulsive dynamical networks via single impulsive control ⋮ Stability and bifurcations in scalar differential equations with a general distributed delay ⋮ Stability and bifurcation analysis of a gene expression model with small RNAs and mixed delays ⋮ Delay-dependent cluster synchronization of time-varying complex dynamical networks with noise via delayed pinning impulsive control ⋮ Coexistence of Hopf-Born rotation and heteroclinic cycling in a time-delayed three-gene auto-regulated and mutually-repressed core genetic regulation network ⋮ Criteria of global attraction in systems of delay differential equations with mixed monotonicity ⋮ Stability and bifurcations in fractional-order gene regulatory networks ⋮ Dynamics analysis for a discrete dynamic competition model

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