Normal Forms for an Age Structured Model
Journal of Dynamics and Differential Equations, ISSN: 1572-9222, Vol: 28, Issue: 3-4, Page: 733-761
2016
- 14Citations
- 5Captures
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Article Description
In this paper, we apply the recently developed normal form theory for abstract Cauchy problems with non-dense domain in Liu et al. (J Diff Equ 257:921–1011, 2014) to study normal forms for an age structured model. We provide detailed computations for the Taylor’s expansion of the reduced system on the center manifold, from which explicit formulae are given to determine the direction of the Hopf bifurcation and the stability and amplitude of the bifurcating periodic solutions.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84944699159&origin=inward; http://dx.doi.org/10.1007/s10884-015-9500-8; http://link.springer.com/10.1007/s10884-015-9500-8; http://link.springer.com/content/pdf/10.1007/s10884-015-9500-8; http://link.springer.com/content/pdf/10.1007/s10884-015-9500-8.pdf; http://link.springer.com/article/10.1007/s10884-015-9500-8/fulltext.html; https://dx.doi.org/10.1007/s10884-015-9500-8; https://link.springer.com/article/10.1007/s10884-015-9500-8
Springer Science and Business Media LLC
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