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

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 spectr...

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Main Authors:	Ze-Rong He, Dongdong Ni, Shuping Wang
Format:	Article
Language:	English
Published:	Texas State University 2019-11-01
Series:	Electronic Journal of Differential Equations
Subjects:	hierarchy of age population system steady states stability semigroup of operators
Online Access:	http://ejde.math.txstate.edu/Volumes/2019/124/abstr.html

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spelling	doaj-888fae27e86e466f80581fe36db431432020-11-25T00:12:56ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912019-11-012019124,114Existence and stability of steady states for hierarchical age-structured population modelsZe-Rong He0Dongdong Ni1Shuping Wang2 Hangzhou Dianzi Univ., Hangzhou, China Hangzhou Dianzi Univ., Hangzhou, China Hangzhou Dianzi Univ., Hangzhou, China 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.http://ejde.math.txstate.edu/Volumes/2019/124/abstr.htmlhierarchy of agepopulation systemsteady statesstabilitysemigroup of operators
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ze-Rong He Dongdong Ni Shuping Wang
spellingShingle	Ze-Rong He Dongdong Ni Shuping Wang Existence and stability of steady states for hierarchical age-structured population models Electronic Journal of Differential Equations hierarchy of age population system steady states stability semigroup of operators
author_facet	Ze-Rong He Dongdong Ni Shuping Wang
author_sort	Ze-Rong He
title	Existence and stability of steady states for hierarchical age-structured population models
title_short	Existence and stability of steady states for hierarchical age-structured population models
title_full	Existence and stability of steady states for hierarchical age-structured population models
title_fullStr	Existence and stability of steady states for hierarchical age-structured population models
title_full_unstemmed	Existence and stability of steady states for hierarchical age-structured population models
title_sort	existence and stability of steady states for hierarchical age-structured population models
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2019-11-01
description	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.
topic	hierarchy of age population system steady states stability semigroup of operators
url	http://ejde.math.txstate.edu/Volumes/2019/124/abstr.html
work_keys_str_mv	AT zeronghe existenceandstabilityofsteadystatesforhierarchicalagestructuredpopulationmodels AT dongdongni existenceandstabilityofsteadystatesforhierarchicalagestructuredpopulationmodels AT shupingwang existenceandstabilityofsteadystatesforhierarchicalagestructuredpopulationmodels
_version_	1725396628100087808

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

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