Density-dependent feedback in age-structured populations
Abstract
The population size has far-reaching effects on the fitness of the population, that, in its turn influences the population extinction or persistence. Understanding the density- and age-dependent factors will facilitate more accurate predictions about the population dynamics and its asymptotic behaviour. In this paper, we develop a rigourous mathematical analysis to study positive and negative effects of increased population density in the classical nonlinear age-structured population model introduced by Gurtin \& MacCamy in the late 1970s. One of our main results expresses the global stability of the system in terms of the newborn function only. We also derive the existence of a threshold population size implying the population extinction, which is well-known in population dynamics as an Allee effect.
Keywords
Cite
@article{arxiv.1903.02226,
title = {Density-dependent feedback in age-structured populations},
author = {Jonathan Andersson and Vladimir Kozlov and Vladimir G. Tkachev and Sonja Radosavljevic and Uno Wennergren},
journal= {arXiv preprint arXiv:1903.02226},
year = {2021}
}
Comments
20 pages, submitted to J. Math. Sci