The Role of Knowledge in the Development of Society. A Mathematical Model of Population Dynamics
- Authors: Shepelev G.V.1
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Affiliations:
- NRC “Kurchatov Institute” – SPISA
- Issue: Vol 7, No 2 (2025)
- Pages: 179-198
- Section: Discussion: science and society through the lens of natural sciences
- URL: https://journals.rcsi.science/2686-827X/article/view/380537
- DOI: https://doi.org/10.19181/smtp.2025.7.2.11
- EDN: https://elibrary.ru/VINZLX
- ID: 380537
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Abstract
A mathematical model describing the growth dynamics of resources available for human consumption is presented. The model is verified by several facts from population ecology and ancient history (the migration of people, their concentration along river valleys, the emergence of compact settlements). The author shows the role of scientific knowledge in progressive development as a base for innovations that increase the overall productivity of people’s activities and examines the significance of radical innovations in leaps in the growth rate of the number of people. The jumps in the growth rate of numbers in history and their relation to radical innovations are analyzed.
The dynamics of productivity growth is considered in terms of the potential scale of application of relevant knowledge in material production and the speed of investment in the organization of the relevant production. The presented model shows the role of mutually coordinated development of the scientific sector and the real economy.
The dynamics of productivity growth is considered in terms of the potential scale of application of relevant knowledge in material production and the speed of investment in the organization of the relevant production. The presented model shows the role of mutually coordinated development of the scientific sector and the real economy.
About the authors
Gennady V. Shepelev
NRC “Kurchatov Institute” – SPISA
Email: shepelev-2@mail.ru
SPIN-code: 9104-3267
Candidate of Physical and Mathematical Sciences, Deputy Head of a Department Moscow, Russia
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