The Kramers-Moyal expansion of the master equation that describes human migration in a bounded domain

DOI10.1016/j.nonrwa.2007.10.020zbMath1167.91413OpenAlexW2066954127MaRDI QIDQ837659

Nobuoki Eshima, Minoru Tabata

Publication date: 20 August 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.10.020

zbMATH Keywords

master equationnonlinear integro-partial differential equationhuman migrationKramers-Moyal expansionsociodynamics

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Models of societies, social and urban evolution (91D10) PDEs with randomness, stochastic partial differential equations (35R60) Transition functions, generators and resolvents (60J35) Stochastic analysis (60H99)

Related Items (3)

Migration-driven aggregation behaviors in job markets with direct foreign immigration ⋮ A mathematical modeling approach to the formation of urban and rural areas: convergence of global solutions of the mixed problem for the master equation in sociodynamics ⋮ A mathematical-model approach to human population explosions caused by migration

Cites Work

• A geometrical similarity between migration of human population and diffusion of biological particles
• Estimating Kramers-Moyal coefficients in short and non-stationary data sets
• The nonlinear integro-partial differential equation describing the logistic growth of human population with migration
• The Cauchy problem for the system of equations describing migration motivated by regional economic disparity
• The behavior of solutions to the Cauchy problem for the master equation
• The Fokker-Planck equation. Methods of solutions and applications.
• Concepts and models of a quantitative sociology. The dynamics of interacting populations
• Blowing-up solutions to the Cauchy problem for the master equation
• The Cauchy problem for the nonlinear integro-partial differential equation in quantitative sociodynamics.
• Quantitative sociodynamics. Stochastic methods and models of social interaction processes. Transl. from the German by Richard Calek and Dirk Helbing
• THE LANGEVIN OR KRAMERS APPROACH TO BIOLOGICAL MODELING
• Unnamed Item

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