Stability analysis for genetic regulatory networks with delays: the continuous-time case and the discrete-time case

DOI10.1016/j.amc.2013.06.003zbMath1329.34117OpenAlexW1964719386MaRDI QIDQ902536

Jianqiang Hu, Jinling Liang, Cao, Jinde

Publication date: 18 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.06.003

zbMATH Keywords

exponential stabilitydiscretization methodsgenetic regulatory networks (GRNs)continuous-time networkdiscrete-time network

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Adaptive or robust stabilization (93D21) Stability theory of functional-differential equations (34K20)

Related Items (10)

Local Hopf bifurcation analysis and global existence of periodic solutions in a gene expression model with delays ⋮ Bifurcations and chaos of a discrete-time model in genetic regulatory networks ⋮ State bounding and synthesis of switched genetic regulatory networks with mixed delays and bounded disturbances ⋮ Hopf Bifurcation Analysis of a Gene Regulatory Network Mediated by Small Noncoding RNA with Time Delays and Diffusion ⋮ Approximation of state variables for discrete-time stochastic genetic regulatory networks with leakage, distributed, and probabilistic measurement delays: a robust stability problem ⋮ Stability analysis for continuous-time and discrete-time genetic regulatory networks with delays ⋮ Stochastic stability analysis of switched genetic regulatory networks without stable subsystems ⋮ Positive periodic solutions for a model of gene regulatory system with time-varying coefficients and delays ⋮ An advanced delay-dependent approach of impulsive genetic regulatory networks besides the distributed delays, parameter uncertainties and time-varying delays ⋮ Stability and bifurcations in fractional-order gene regulatory networks

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