Normal forms for an age structured model
DOI10.1007/s10884-015-9500-8zbMath1350.35021OpenAlexW1950776708MaRDI QIDQ330523
Pierre Magal, Zhihua Liu, Jixun Chu, Shigui Ruan
Publication date: 26 October 2016
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-015-9500-8
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Periodic solutions to PDEs (35B10) One-parameter semigroups and linear evolution equations (47D06) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)
Related Items (11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On integrated semigroups and age structured models in \(L^p\) spaces.
- Hopf bifurcation for non-densely defined Cauchy problems
- Oscillations and stability due to juvenile competitive effects on adult fertility
- Bifurcation of time periodic solutions of the McKendrick equations with applications to population dynamics
- On the qualitative behaviour of populations with age-specific interactions
- Semiflows generated by Lipschitz perturbations of non-densely defined operators
- Differentiability of convolutions, integrated semigroups of bounded semi-variation, and the inhomogeneous Cauchy problem
- Hopf bifurcation in a size-structured population dynamic model with random growth
- On semilinear Cauchy problems with non-dense domain
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Hopf bifurcation and the stability of non-linear age-dependent population models
- Periodic solutions for nonlinear equations of structured populations
- Elements of applied bifurcation theory.
- ``Integrated semigroups and integrated solutions to abstract Cauchy problems
- Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
- Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
- Systems of differential delay equations: Floquet multipliers and discrete Lyapunov functions
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
- Normal forms for semilinear equations with non-dense domain with applications to age structured models
- Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models
- Normal forms for parametrized vector fields and its application to bifurcations of some reaction diffusion equations
- Projectors on the Generalized Eigenspaces for Partial Differential Equations with Time Delay
This page was built for publication: Normal forms for an age structured model