Evolution of infinite populations of immigrants: micro- and mesoscopic description

DOI10.1016/j.jmaa.2019.04.033zbMath1426.82042arXiv1808.03789OpenAlexW2887842443WikidataQ128013309 ScholiaQ128013309MaRDI QIDQ2314834

Yuri V. Kozitskij

Publication date: 30 July 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03789

zbMATH Keywords

population dynamicskinetic equationdiversitycomplex systemstochastic semigroupinfinite population

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fokker-Planck equations (35Q84)

Related Items (3)

Dynamics of an infinite age‐structured particle system ⋮ An interplay between attraction and repulsion in infinite populations ⋮ Stochastic branching at the edge: individual-based modeling of tumor cell proliferation

Cites Work

• Unnamed Item
• Scaling limits in statistical mechanics and microstructures in continuum mechanics
• A Widom-Rowlinson jump dynamics in the continuum
• A Curie-Weiss theory of the continuum Widom-Rowlinson model
• Evolution of states in a continuum migration model
• On moment closures for population dynamics in continuous space
• Dynamical Widom-Rowlinson model and its mesoscopic limit
• Self-regulation in the Bolker-Pacala model
• Methods of small parameter in mathematical biology
• Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
• A phase transition in a Widom–Rowlinson model with Curie–Weiss interaction
• The global evolution of states of a continuum Kawasaki model with repulsion
• HARMONIC ANALYSIS ON CONFIGURATION SPACE I: GENERAL THEORY
• The statistical dynamics of a spatial logistic model and the related kinetic equation
• A Simple Proof of the Denjoy-Carleman Theorem

This page was built for publication: Evolution of infinite populations of immigrants: micro- and mesoscopic description