The Cauchy problem for the nonlinear integro-partial differential equation in quantitative sociodynamics.

DOI10.1016/S0096-3003(01)00210-7zbMath1033.45008OpenAlexW2163220334WikidataQ115339765 ScholiaQ115339765MaRDI QIDQ1855856

Minoru Tabata, Nobuoki Eshima

Publication date: 28 January 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00210-7

zbMATH Keywords

asymptoticsnonlinear partial integro-differential equationquantitative sociodynamics

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Models of societies, social and urban evolution (91D10)

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Cites Work

• Synergetic economics. Time and change in nonlinear economics
• Chaos and socio-spatial dynamics
• 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
• Concepts and models of a quantitative sociology. The dynamics of interacting populations
• Quantitative sociodynamics. Stochastic methods and models of social interaction processes. Transl. from the German by Richard Calek and Dirk Helbing

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