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Multiparametric Bifurcation Analysis of a Basic Two-Stage Population Model

โœ Scribed by Baer, S. M.; Kooi, B. W.; Kuznetsov, Yu. A.; Thieme, H. R.


Book ID
118194028
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
392 KB
Volume
66
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