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arXiv · 2312.02166

A nonlinear population model

Dragos-Patru Covei·Traian A. Pirvu·Catalin Sterbeti
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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.

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Dragos-Patru Covei, Traian A. Pirvu, Catalin Sterbeti. 2023-10-30. A nonlinear population model. https://arxiv.org/abs/2312.02166

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