Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Nonlocal Reaction-Diffusion Models of Heterogeneous Wealth Distribution

Version 1 : Received: 30 December 2020 / Approved: 30 December 2020 / Online: 30 December 2020 (16:35:43 CET)

A peer-reviewed article of this Preprint also exists.

Banerjee, M.; Petrovskii, S.V.; Volpert, V. Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution. Mathematics 2021, 9, 351. Banerjee, M.; Petrovskii, S.V.; Volpert, V. Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution. Mathematics 2021, 9, 351.

Journal reference: Mathematics 2021, 9, 351
DOI: 10.3390/math9040351

Abstract

Dynamics of human populations can be affected by various socio-economic factors through their influence on the natality and mortality rates, and on the migration intensity and directions. In this work we study an economic-demographic model which takes into account the dependence of the wealth production rate on the available resources. In the case of nonlocal consumption of resources the homogeneous in space wealth-population distribution is replaced by a periodic in space distribution for which the total wealth increases. For the global consumption of resources, if the wealth redistribution is small enough, then the homogeneous distribution is replaced by a heterogeneous one with a single wealth accumulation center. Thus, economic and demographic characteristics of nonlocal and global economies can be quite different in comparison with the local economy.

Subject Areas

human population dynamics; wealth distribution; nonlocal consumption of resources; spatial patterns

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