Stability and bifurcation of genetic regulatory networks with small RNAs and multiple delays

DOI10.1080/00207160.2013.808741zbMath1333.93207OpenAlexW2141049895MaRDI QIDQ2921901

Cao, Jinde, Min Xiao, Wei Xing Zheng

Publication date: 14 October 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.808741

zbMATH Keywords

stabilitytime delayHopf bifurcationperiodic oscillationgene regulatory network

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Asymptotic stability in control theory (93D20) Biochemistry, molecular biology (92C40) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• Robust exponential stability analysis for stochastic genetic networks with uncertain parameters
• Genetic oscillation deduced from Hopf bifurcation in a genetic regulatory network with delays
• Periodic oscillation in delayed gene networks with SUM regulatory logic and small perturba\-tions
• Hopf bifurcation analysis in a model of oscillatory gene expression with delay
• Stability of genetic regulatory networks with time delay