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Stability and Hopf Bifurcation for a Cell Population Model with State-Dependent Delay

โœ Scribed by Adimy, Mostafa; Crauste, Fabien; Hbid, My Lhassan; Qesmi, Redouane


Book ID
118192589
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
388 KB
Volume
70
Category
Article
ISSN
0036-1399

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Hopf bifurcation analysis of a food-limi
โœ Aying Wan; Junjie Wei ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 707 KB

The dynamics of a food-limited population model with delay are investigated. We prove that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay increases. An explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating period