A return-to-home model with commuting people and workers

DOI10.1007/s00285-023-02028-xzbMath1529.35524arXiv2309.17030MaRDI QIDQ6140879

Pierre Magal

Publication date: 2 January 2024

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.17030

zbMATH Keywords

diffusion convection equationintra-city-mobilityreturn-to-home model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Models of societies, social and urban evolution (91D10) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Integrated semigroups and parabolic equations. I: Linear perburbation of almost sectorial operators
• Mathematics for life science and medicine.
• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of positive operators
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Compactness properties and asymptotics of strongly coupled systems
• The effects of human movement on the persistence of vector-borne diseases
• Gagliardo-Nirenberg inequalities and non-inequalities: the full story
• Eventual compactness for semiflows generated by nonlinear age-structured models
• Theory and applications of abstract semilinear Cauchy problems
• A spatial model of honey bee colony collapse due to pesticide contamination of foraging bees
• An environmental model of honey bee colony collapse due to pesticide contamination
• Parabolic equations in biology. Growth, reaction, movement and diffusion
• The functional calculus for sectorial operators
• Differential equations and population dynamics I. Introductory approaches
• Return-to-home model for short-range human travel
• The Harnack inequality for second-order parabolic equations with divergence-free drifts of low regularity
• Compactness of bounded trajectories of dynamical systems in infinite dimensional spaces
• Abstract Parabolic Evolution Equations and their Applications
• An Operator-Theoretic Formulation of Asynchronous Exponential Growth
• Elliptic Partial Differential Equations of Second Order
• One-Parameter Semigroups for Linear Evolution Equations
• Spatial Ecology via Reaction‐Diffusion Equations
• Stochastic Process with Ultraslow Convergence to a Gaussian: The Truncated Lévy Flight
• Balanced Splitting and Rebalanced Splitting
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: A return-to-home model with commuting people and workers