Stability and Hopf bifurcation analysis of a gene expression model with diffusion and time delay

DOI10.1155/2014/738682zbMath1406.92206OpenAlexW1994094413WikidataQ59041083 ScholiaQ59041083MaRDI QIDQ1724860

Yahong Peng, Tonghua Zhang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/738682

zbMATH Keywords

stabilitydiffusionHopf bifurcationtime delaysgene expression model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40)

Related Items (6)

Hopf Bifurcation Analysis of a Gene Regulatory Network Mediated by Small Noncoding RNA with Time Delays and Diffusion ⋮ DELAY INDUCED SUBCRITICAL HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND HYPERBOLIC MORTALITY ⋮ Turing instability and pattern induced by cross-diffusion in a predator-prey system with Allee effect ⋮ Turing patterns induced by cross-diffusion in a 2D domain with strong Allee effect ⋮ Stability and Hopf bifurcation analysis for a Lac operon model with nonlinear degradation rate and time delay ⋮ Complex Dynamics and Periodic Oscillation Mechanism in Two Novel Gene Expression Models with State-Dependent Delays

Cites Work

• Unnamed Item
• Unnamed Item
• The stability and Hopf bifurcation analysis of a gene expression model
• Local Hopf bifurcation and global periodic solutions in a delayed predator--prey system
• Separable models in age-dependent population dynamics
• Models of genetic control by repression with time delays and spatial effects
• Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways
• Theory and applications of partial functional differential equations
• Genetic control models with diffusion and delays
• Hopf bifurcation in a DDE model of gene expression
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Normal forms and Hopf bifurcation for partial differential equations with delays
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion

This page was built for publication: Stability and Hopf bifurcation analysis of a gene expression model with diffusion and time delay