Note on stability conditions for structured population dynamics models

We consider a characteristic equation to analyze asymptotic stability of a scalar renewal equation, motivated by structured population dynamics models. The characteristic equation is given by \[ 1=\int_{0}^{\infty}k(a)e^{-\lambda a}da, \] where $k:\mathbb{R}_{+}\to\mathbb{R}$ can be decomposed into...

Full description

Bibliographic Details
Main Author: Yukihiko Nakata
Format: Article
Language:English
Published: University of Szeged 2016-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5298