Simple mathematical models for urban growth

DOI10.1098/RSPA.1992.0100zbMath0754.92026OpenAlexW1979016097MaRDI QIDQ4015111

Henry C. Tuckwell, A. J. Bracken

Publication date: 6 December 1992

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1992.0100

zbMATH Keywords

diffusionboundary conditionsmigrationsteady-state solutionstime-dependent solutionsthreshold effectmodified Crank-Nicolson methodthird-order nonlinear differential equationlocal logistic growthpatterns of population distributionssteady state densitiesurban growth and spread

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Models of societies, social and urban evolution (91D10) Spatial models in sociology (91D25)

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