Electron. J. Differential Equations, Vol. 2019 (2019), No. 124, pp. 1-14.

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

Ze-Rong He, Dongdong Ni, Shuping Wang

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.

Show me the PDF file (365 KB), TEX file for this article.

Ze-Rong He
Department of Mathematics
Institute of Operational Research and Cybernetics
Hangzhou Dianzi University
Hangzhou 310018, China
email: zrhe@hdu.edu.cn
  Dongdong Ni
Department of Mathematics
Institute of Operational Research and Cybernetics,
Hangzhou Dianzi University
Hangzhou 310018, China
email: 2290811277@qq.com
  Shuping Wang
Department of Mathematics
Institute of Operational Research and Cybernetics
Hangzhou Dianzi University
Hangzhou 310018, China
email: wsp_2011@hdu.edu.cn

Return to the EJDE web page