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Periodic Solutions for Non-linear Equations of Structured Populations

✍ Scribed by Stefano Bertoni

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
216 KB
Volume
220
Category
Article
ISSN
0022-247X

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✦ Synopsis

We show the existence of non-trivial periodic solutions for a class of non-linear equations, model of age-structured populations. To this aim we use the theory of Centre Manifold for a class of abstract differential equations introduced by Desch and Schappacher, and show that a Hopf Bifurcation Theorem can be proved for this class of equations. Finally, we consider some special cases, and present an algorithm for the determination of the type of bifurcation, and show that in the considered cases the bifurcation is always supercritical.

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