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Article

Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution

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Department of Mathematics & Statistics, IIT Kanpur, Kanpur 208016, India
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School of Mathematics & Actuarial Science, University of Leicester, Leicester LE1 7RH, UK
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Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France
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INRIA Team Dracula, INRIA Lyon La Doua, 69603 Villeurbanne, France
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Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, 117198 Moscow, Russia
*
Author to whom correspondence should be addressed.
Academic Editor: Giancarlo Consolo
Mathematics 2021, 9(4), 351; https://doi.org/10.3390/math9040351
Received: 5 January 2021 / Revised: 27 January 2021 / Accepted: 2 February 2021 / Published: 10 February 2021
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. View Full-Text
Keywords: human population dynamics; wealth distribution; nonlocal consumption of resources; spatial patterns human population dynamics; wealth distribution; nonlocal consumption of resources; spatial patterns
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MDPI and ACS Style

Banerjee, M.; Petrovskii, S.V.; Volpert, V. Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution. Mathematics 2021, 9, 351. https://doi.org/10.3390/math9040351

AMA Style

Banerjee M, Petrovskii SV, Volpert V. Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution. Mathematics. 2021; 9(4):351. https://doi.org/10.3390/math9040351

Chicago/Turabian Style

Banerjee, Malay, Sergei V. Petrovskii, and Vitaly Volpert. 2021. "Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution" Mathematics 9, no. 4: 351. https://doi.org/10.3390/math9040351

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