Asymptotic behavior of a hierarchical size-structured population model

DOI10.3934/eect.2018015zbMath1408.35201OpenAlexW2800598178WikidataQ129853070 ScholiaQ129853070MaRDI QIDQ1711860

Dongxue Yan, Xianlong Fu

Publication date: 18 January 2019

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2018015

zbMATH Keywords

\(C_0\)-semigrouplinearized stabilityasynchronous exponential growthdelayed boundary conditionhierarchical size-structured population

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Boundary value problems for nonlinear first-order PDEs (35F30)

Related Items (3)

Optimal boundary control problems for a hierarchical age-structured two-species model ⋮ Well-posedness and asynchronous exponential growth of an age-weight structured fish population model with nonautonomous past ⋮ Asymptotic behavior of an age-structured prey-predator system with distributed delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Steady-state analysis of structured population models
• The asymptotic behavior of an age-cycle structured cell model with delay
• Nonlinear age-dependent population growth with history-dependent birth rate
• The asymptotic behavior of a structured cell population
• Asynchronous exponential growth for an age dependent population equation with delayed birth process
• A quasilinear hierarchical size-structured model: well-posedness and approximation
• Stability and regularity results for a size-structured population model
• Asymptotic analysis of a spatially and size-structured population model with delayed birth process
• The spectrum of unbounded operator matrices with non-diagonal domain
• Asymptotic analysis of a size-structured cannibalism model with infinite dimensional environmental feedback
• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of positive operators
• A perturbation theorem for the essential spectral radius of strongly continuous semigroups
• Asynchronous exponential growth of semigroups of nonlinear operators
• The dynamics of hierarchical age-structured populations
• Asymptotic behaviour of a model of hierarchically structured population dynamics
• Asymptotic behaviour of a non-autonomous population equation with diffusion in \(L^1\)
• Stability results for a size-structured population model with delayed birth process
• Stability analysis for a size-structured juvenile-adult population model
• The asymptotic behavior of a population equation with diffusion and delayed birth process
• Measure-valued solutions for a hierarchically size-structured population
• EXISTENCE AND UNIQUENESS FOR HEIGHT STRUCTURED HIERARCHICAL POPULATION MODELS
• Hierarchical size-structured populations: The linearized semigroup approach
• Stability and Bifurcation Analysis of Volterra Functional Equations in the Light of Suns and Stars
• Periodic Solutions of a Nonlinear Age-Dependent Model of Single Species Population Dynamics
• A Nonlinear Age-Dependent Model of Single Species Population Dynamics
• One-Parameter Semigroups for Linear Evolution Equations
• An age-dependent population equation with delayed birth process
• Dynamics of hierarchical models in discrete-time
• IDENTIFICATION OF EXTRAPOLATION SPACES FOR UNBOUNDED OPERATORS
• Semigroups and linear partial differential equations with delay

This page was built for publication: Asymptotic behavior of a hierarchical size-structured population model