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Analytical study of a triple Hopf bifurcation in a tritrophic food chain model

✍ Scribed by Jean-Pierre Françoise; Jaume Llibre


Book ID
108052011
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
204 KB
Volume
217
Category
Article
ISSN
0096-3003

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Hopf bifurcation analysis of a food-limi
✍ Aying Wan; Junjie Wei 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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