✦ LIBER ✦
Period-doubling bifurcation of a discrete metapopulation model with a delay in the dispersion terms
✍ Scribed by Li Zeng; Yi Zhao; Yu Huang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 562 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
In this work the period-doubling bifurcation of a discrete metapopulation with delay in the dispersion terms is discussed. By using the central manifold method, the period-doubling bifurcation can be analyzed from the viewpoint of the dynamical system. Intensive simulation on this model shows the dynamics of the metapopulation is similar to that of a single logistic model as the bifurcation parameter µ increases when 0 ≤ b < 1/2, where b is the dispersion parameter.