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

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.

Keywords

• hierarchy of age
• population system
• steady states
• stability
• semigroup of operators