A nonlinear population model
General Mathematics
2023-12-06 v1
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 [17]. 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.
Cite
@article{arxiv.2312.02166,
title = {A nonlinear population model},
author = {Dragos-Patru Covei and Traian A. Pirvu and Catalin Sterbeti},
journal= {arXiv preprint arXiv:2312.02166},
year = {2023}
}