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Hopf bifurcation for a differential–algebraic biological economic system with time delay

✍ Scribed by Guodong Zhang; Boshan Chen; Lulu Zhu; Yi Shen

Book ID
113440140
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
335 KB
Volume
218
Category
Article
ISSN
0096-3003

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Hopf bifurcation in a delayed differenti
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✍ Guodong Zhang; Lulu Zhu; Boshan Chen 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 401 KB

In this paper, we consider a differential-algebraic biological economic system with time delay where the model with Holling type II functional response incorporates a constant prey refuge and prey harvesting. By considering time delay as bifurcation parameter, we analyze the stability and the Hopf b

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The effect of time delays occurring in the feedback control loop on the linear stability of a simple magnetic bearing system is investigated by analyzing the associated characteristic transcendental equation. It is found that a Hopf bifurcation can take place when time delays pass certain values. Th