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.
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Ze-Rong He Department of Mathematics Institute of Operational Research and Cybernetics Hangzhou Dianzi University Hangzhou 310018, China email: zrhe@hdu.edu.cn |
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| 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 |
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