Existence and stability of steady states for hierarchical age-structured population models
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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.
Rights
Attribution 4.0 International