Hopf bifurcation analysis for a model of genetic regulatory system with delay

Journal of Mathematical Analysis and Applications

Volumn 356, Issue 2, 2009, Pages 464-476

  Wan, Aying ^a,c   Zou, Xingfu ^b  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b UNIVERSITY OF WESTERN ONTARIO   (Canada)

^c Hulunbeir College   (China)

Author keywords

Delay; Genetic regulatory system; Hopf bifurcation; Periodic solution

Indexed keywords

EID: 64049092996     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2009.03.037     Document Type: Article

References (4)

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2. Ruan S., and Wei J. On the zeros of transcendental functions to stability of delay differential equations with two delays. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 10 (2003) 863-874
3. Smolen P., Baxter D.A., and Byrne J.H. Frequency selectivity, multistability, and oscillations emerge from models of genetic regulatory systems. Amer. J. Phys. 277 (1998) C777-C790
4. Smolen P., Baxter D.A., and Byrne J.H. Modeling transcriptional control in gene networks-methods, recent results, and future. Bull. Math. Biol. 62 (2000) 247-292