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
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