Periodic solutions for nonlinear equations of structured populations

DOI10.1006/jmaa.1997.5878zbMath0914.35009OpenAlexW1987758916MaRDI QIDQ1269645

Stefano Bertoni

Publication date: 29 November 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5878

zbMATH Keywords

centre manifold theorem

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Population dynamics (general) (92D25) Partial functional-differential equations (35R10)

Related Items

Normal forms for an age structured model, Hopf bifurcation theorem for second-order semi-linear Gurtin-MacCamy equation, A short proof for Hopf bifurcation in Gurtin-MacCamy’s population dynamics model, Hopf bifurcation for non-densely defined Cauchy problems, Hopf bifurcation for a maturity structured population dynamic model, Bogdanov-Takens bifurcation in a predator-prey model, Stability of CD-systems under perturbations in the Favard class, Hopf bifurcation in a size-structured population dynamic model with random growth, Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models, Hopf bifurcation for a spatially and age structured population dynamics model

Cites Work

• On the qualitative behaviour of populations with age-specific interactions
• Some perturbation results for analytic semigroups
• Geometric theory of semilinear parabolic equations
• Applications of centre manifold theory
• Delay equations. Functional-, complex-, and nonlinear analysis
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