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Nonlocal reaction–diffusion models of heterogeneous wealth distribution

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journal contribution
posted on 29.04.2021, 11:18 by M Banerjee, SV Petrovskii, V Volpert
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-inspace 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.

History

Citation

Mathematics 2021, 9(4), 351; https://doi.org/10.3390/math9040351

Author affiliation

School of Mathematics & Actuarial Science

Version

VoR (Version of Record)

Published in

Mathematics

Volume

9

Issue

4

Pagination

1 - 18

Publisher

MDPI AG

eissn

2227-7390

Acceptance date

02/02/2021

Copyright date

2021

Available date

29/04/2021

Language

en