Stability and bifurcation analysis of a delayed predator–prey model of prey dispersal in two-patch environments
✍ Scribed by Changjin Xu; Xianhua Tang; Maoxin Liao
- Book ID
- 108051795
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 823 KB
- Volume
- 216
- Category
- Article
- ISSN
- 0096-3003
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## Abstract By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for the two‐patches predator‐prey dispersion models with continuous delays is established. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
We consider a predator᎐prey system with one or two delays and a unique positive equilibrium E#. Its dynamics are studied in terms of the local stability of E# and of the description of the Hopf bifurcation that is proven to exist as one of Ž . the delays taken as a parameter crosses some critical va