Analysis of the Hopf bifurcation for the family of angiogenesis models II: The case of two nonzero unequal delays
作者：
Highlights：
• We analyse the of family of models describing the angiogenesis process.
• We examine the existence of Hopf bifurcation for DDE system with two unequal delays.
• We analyze Hopf bifurcation type when one of delays is a bifurcation parameter.
• Our analysis covers the case of well-know Hahnfeldt et al. model with included delays.
• We extend the results from the previous work where only one delay is nonzero.
摘要
•We analyse the of family of models describing the angiogenesis process.•We examine the existence of Hopf bifurcation for DDE system with two unequal delays.•We analyze Hopf bifurcation type when one of delays is a bifurcation parameter.•Our analysis covers the case of well-know Hahnfeldt et al. model with included delays.•We extend the results from the previous work where only one delay is nonzero.
论文关键词：Angiogenesis,Hopf bifurcation,Stability,Delays,Stability switches
论文评审过程：Available online 6 July 2013.
论文官网地址：https://doi.org/10.1016/j.amc.2013.05.077
