Age-structured population dynamics with nonlocal diffusion
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Publication:2134117
DOI10.1007/s10884-020-09860-5zbMath1492.35369OpenAlexW3036802947WikidataQ98661056 ScholiaQ98661056MaRDI QIDQ2134117
Shigui Ruan, Xiao Yu, Hao Kang
Publication date: 6 May 2022
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-020-09860-5
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Stability in context of PDEs (35B35) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Weak solutions to PDEs (35D30) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)
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Cites Work
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- A nonlocal diffusion model of a single species with age structure
- Eventually positive semigroups of linear operators
- Bifurcation of positive equilibria in nonlinear structured population models with varying mortality rates
- Well-posedness of physiologically structured population models for Daphnia magna. How biological concepts can benefit by abstract mathematical analysis
- Existence and stability of equilibria in age-structured population dynamics
- Travelling wave solutions in multigroup age-structured epidemic models
- Mathematics for life science and medicine.
- On the semigroups of age-size dependent population dynamics with spatial diffusion
- Nonlinear age-dependent diffusive equations: A bifurcation approach
- A nonlinear structured population model: Lipschitz continuity of measure-valued solutions with respect to model ingredients
- Semigroups of linear operators and applications to partial differential equations
- Equilibria in structured populations
- Equilibria in systems of interacting structured populations
- Non-linear age-dependent population diffusion
- A population model with nonlinear diffusion
- Diffusion models for age-structured populations
- Superconvexity of the spectral radius, and convexity of the spectral bound and the type
- An age-dependent epidemic model with spatial diffusion
- Threshold and stability results for an age-structured epidemic model
- Age dependent dispersal is not a simple process: Density dependence, stability, and chaos
- Semigroup formulation and approximation of a linear age-dependent population problem with spatial diffusion
- On the semigroup for age dependent population dynamics with spatial diffusion
- A model of physiologically structured population dynamics with a nonlinear individual growth rate
- Remarks on resolvent positive operators and their perturbation
- Non-linear age-dependent population dynamics
- The evolution of dispersal
- Some remarks on the asymptotic behavior of the semigroup associated with age-structured diffusive populations
- Theory and applications of abstract semilinear Cauchy problems
- On the principal eigenvalue of some nonlocal diffusion problems
- Endemic threshold results in an age-duration-structured population model for HIV infection
- On first-order hyperbolic partial differential equations with two internal variables modeling population dynamics of two physiological structures
- Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity
- Positive Equilibrium Solutions for Age- and Spatially-Structured Population Models
- A Nonlinear Problem in Age-Dependent Population Diffusion
- An Operator-Theoretic Formulation of Asynchronous Exponential Growth
- A Nonlinear Model of Population Dynamics Containing an Arbitrary Number of Continuous Structure Variables
- Spatial and Temporal Dynamics of a Nonlocal Viral Infection Model
- A Competition Model for Size-Structured Species
- Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
- Age-Structured Population Dynamics in Demography and Epidemiology
- Frobenius Theory of Positive Operators: Comparison Theorems and Applications
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