A geometrical similarity between migration of human population and diffusion of biological particles

DOI10.1016/j.nonrwa.2005.06.001zbMath1116.35060OpenAlexW2072454382MaRDI QIDQ859586

Ichiro Takagi, Nobuoki Eshima, Minoru Tabata

Publication date: 16 January 2007

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.06.001

zbMATH Keywords

Fokker-Planck equationquasilinear equationmaster equationnonlinear diffusionKramers-Moyal expansionIntegro-partial differential equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Spatial models in sociology (91D25)

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The Kramers-Moyal expansion of the master equation that describes human migration in a bounded domain ⋮ Existence, uniqueness, and computation of short-run and long-run equilibria of the Dixit-Stiglitz-Krugman model in an urban setting ⋮ 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

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