Article
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A Nonlinear Population Model
Version 1
: Received: 26 December 2023 / Approved: 27 December 2023 / Online: 27 December 2023 (10:09:11 CET)
A peer-reviewed article of this Preprint also exists.
Covei, D.-P.; Pirvu, T.A.; Sterbeti, C. The Equilibrium Solutions for a Nonlinear Separable Population Model. Mathematics 2024, 12, 273. Covei, D.-P.; Pirvu, T.A.; Sterbeti, C. The Equilibrium Solutions for a Nonlinear Separable Population Model. Mathematics 2024, 12, 273.
Abstract
This paper considers a nonlinear model for population dynamics with age structure. The fertility rate with respect to age is non constant and has the form proposed by . Moreover, its multiplicative structure and the multiplicative structure of mortality makes the model separable. In this setting it is shown that the number of births in unit time is given by a system of nonlinear ordinary differential equations. The steady state solution together with the equilibrium solution is found explicitly.
Keywords
Population dynamics; Equilibrium density function
Subject
Computer Science and Mathematics, Applied Mathematics
Copyright: 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.
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