Hopf bifurcation in a size-structured population dynamic model with random growth
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Publication:1028290
DOI10.1016/J.JDE.2009.04.003zbMath1172.35322OpenAlexW2004293327MaRDI QIDQ1028290
Pierre Magal, Shigui Ruan, Jixun Chu, Arnaut Ducrot
Publication date: 30 June 2009
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2009.04.003
Nonlinear parabolic equations (35K55) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Integrated semigroups
- Diffusive age-dependent population models and an application to genetics
- On integrated semigroups and age structured models in \(L^p\) spaces.
- Hopf bifurcation for non-densely defined Cauchy problems
- 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
- Evolution of conditional dispersal: a reaction-diffusion-advection model
- Perturbation of a globally stable steady state and uniform persistence
- On semilinear Cauchy problems with non-dense domain
- Semigroups of linear operators and applications to partial differential equations
- Hopf bifurcation for fully nonlinear equations in Banach space
- Vector-valued Laplace transforms and Cauchy problems
- The Hopf bifurcation theorem in infinite dimensions
- Periodic solutions for nonlinear equations of structured populations
- Introduction to functional differential equations
- Hopf bifurcation in a scalar reaction diffusion equation
- Stability and instability of equilibria of an equation of size structured population dynamics
- ``Integrated semigroups and integrated solutions to abstract Cauchy problems
- Theory and applications of partial functional differential equations
- Hopf bifurcation in a structured population model for the sexual phase of monogonont rotifers
- Delay equations. Functional-, complex-, and nonlinear analysis
- Essential growth rate for bounded linear perturbation of nondensely defined Cauchy problems
- Hopf Bifurcation From Viscous Shock Waves
- A Nonautonomous Juvenile-Adult Model: Well-Posedness and Long-Time Behavior via a Comparison Principle
- Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models
- An Operator-Theoretic Formulation of Asynchronous Exponential Growth
- Global Dynamics and Optimal Life History of a Structured Population Model
- One-Parameter Semigroups for Linear Evolution Equations
- A Survey of Cell Population Dynamics
- Stability and Hopf Bifurcation for Fully Nonlinear Parabolic-Hyperbolic Equations
- Advection-mediated coexistence of competing species
- Analytic semigroups and optimal regularity in parabolic problems
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