The principle of linearized stability in age-structured diffusive populations

DOI10.1016/j.jde.2022.09.025OpenAlexW4298153031MaRDI QIDQ2109377

Christoph Walker, Josef Zehetbauer

Publication date: 21 December 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.15005

zbMATH Keywords

diffusionlinearizationsemigroupsage structurestability of equilibria

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) One-parameter semigroups and linear evolution equations (47D06) Population dynamics (general) (92D25) PDEs of mixed type (35M10)

Related Items (1)

Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion

Cites Work

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• Bifurcation of positive equilibria in nonlinear structured population models with varying mortality rates
• Large time behavior in a nonlinear age-dependent population dynamics problem with spatial diffusion
• Structured population models in biology and epidemiology.
• Nonlinear age-dependent diffusive equations: A bifurcation approach
• Global bifurcation of positive equilibria in nonlinear population models
• Geometric theory of semilinear parabolic equations
• Diffusion models for age-structured populations
• Equilibrium solutions of age-specific population dynamics of several species
• Positivity and stability for a population equation with diffusion on \(L^1\)
• Positive perturbation of operator semigroups: Growth bounds, essential compactness, and asynchronous exponential growth
• Asymptotic behaviour of a non-autonomous population equation with diffusion in \(L^1\)
• Some results based on maximal regularity regarding population models with age and spatial structure
• Some remarks on the asymptotic behavior of the semigroup associated with age-structured diffusive populations
• Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion
• Nonlinear age-structured population models with nonlocal diffusion and nonlocal boundary conditions
• Age-dependent equations with non-linear diffusion
• On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions
• Stability analysis for equilibria in age-specific population dynamics
• Positive Equilibrium Solutions for Age- and Spatially-Structured Population Models
• One-Parameter Semigroups for Linear Evolution Equations

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