A Nonlinear Population Model

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

doi:10.20944/preprints202312.2037.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 26 December 2023 / Approved: 27 December 2023 / Online: 27 December 2023 (10:09:11 CET)

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.

Population dynamics; Equilibrium density function

Computer Science and Mathematics, Applied Mathematics

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A Nonlinear Population Model

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