Banerjee, M.; Petrovskii, S.V.; Volpert, V. Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution. Mathematics2021, 9, 351.
Banerjee, M.; Petrovskii, S.V.; Volpert, V. Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution. Mathematics 2021, 9, 351.
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.
human population dynamics; wealth distribution; nonlocal consumption of resources; spatial patterns
MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.