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

Date

2019-11-21

Authors

He, Ze-Rong
Ni, Dongdong
Wang, Shuping

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Hierarchy of age, Population system, Steady states, Stability, Semigroup of operators

Citation

He, Z. R., Ni, D., & Wang, S. (2019). Existence and stability of steady states for hierarchical age-structured population models. <i>Electronic Journal of Differential Equations, 2019</i>(124), pp. 1-14.

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Attribution 4.0 International

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