Time asymptotics of structured populations with diffusion and dynamic boundary conditions
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Publication:1756871
DOI10.3934/dcdsb.2018127OpenAlexW2797432712MaRDI QIDQ1756871
Quentin Richard, Mustapha Mokhtar-Kharroubi
Publication date: 27 December 2018
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2018127
diffusionweak compactnessstructured populationsWentzell boundary conditionasynchronous exponential growthHopf's maximum principleessential type
Asymptotic behavior of solutions to PDEs (35B40) One-parameter semigroups and linear evolution equations (47D06) Population dynamics (general) (92D25) Maximum principles in context of PDEs (35B50)
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Cites Work
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- On a strain-structured epidemic model
- Steady states in a structured epidemic model with Wentzell boundary condition
- Structured populations with diffusion and Feller conditions
- Structured population models in biology and epidemiology.
- Structured populations with diffusion in state space
- Semigroups of linear operators and applications to partial differential equations
- One-parameter semigroups of positive operators
- Irreducible compact operators
- A generalization of the Vidav-Jörgens perturbation theorem for semigroups and its application to transport theory
- On resolvent positive operators and positive \(C_ 0\)-semigroups on AL- spaces
- On weakly compact operators
- Physiologically structured populations with diffusion and dynamic boundary conditions
- Method of lines for physiologically structured models with diffusion
- Spectral Theory for Neutron Transport
- Convergence of One-Parameter Operator Semigroups
- An Operator-Theoretic Formulation of Asynchronous Exponential Growth
- A Lotka–McKendrick Model for a Population Structured by the Level of Parasitic Infection
- One-Parameter Semigroups for Linear Evolution Equations
- On the convex compactness property for the strong operator topology and related topics
- $C_0$-semigroups generated by second order differential operators with general Wentzell boundary conditions
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Frobenius Theory of Positive Operators: Comparison Theorems and Applications
- Diffusion Processes in One Dimension
