Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 124, pp. 1-14.

Title: Existence and stability of steady states for hierarchical age-structured population models

Authors:  Ze-Rong He      (Hangzhou Dianzi Univ., Hangzhou,  China)
                 Dongdong Ni    (Hangzhou Dianzi Univ., Hangzhou,  China)
                 Shuping Wang (Hangzhou Dianzi Univ., Hangzhou,  China)

Abstract:
  This article concerns the stability of equilibria of a hierarchical age-structured
 population system. We establish the existence of positive steady states via
 a fixed point result. Also we derive some criteria from the model parameters for
 asymptotical stability or instability, by means of spectrum and
 semigroups of linear operators. In addition, we present some numerical experiments.
 
Submitted October 27, 2018. Published November 21, 2019.
Math Subject Classifications:  92D05, 47D06, 35B35.
Key Words: Hierarchy of age; population system; steady states; stability; semigroup of operators.