Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model

In this paper, we establish two multi-dimensional discrete Halanay-type inequalities. As an application, we consider a malaria transmission model with two delays and employ the two discrete Halanay-type inequalities to establish the global (exponential) asymptotical stability of the disease free equ...

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Main Authors:	Wu, Chunqing, Wong, Patricia Jia Yiing
Other Authors:	School of Electrical and Electronic Engineering
Format:	Article
Language:	English
Published:	2016
Subjects:	Discrete Halanay-type inequalities Multi-dimension
Online Access:	https://hdl.handle.net/10356/84704 http://hdl.handle.net/10220/41956
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Institution:	Nanyang Technological University
Language:	English

id	sg-ntu-dr.10356-84704
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spelling	sg-ntu-dr.10356-847042020-03-07T13:57:28Z Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model Wu, Chunqing Wong, Patricia Jia Yiing School of Electrical and Electronic Engineering Discrete Halanay-type inequalities Multi-dimension In this paper, we establish two multi-dimensional discrete Halanay-type inequalities. As an application, we consider a malaria transmission model with two delays and employ the two discrete Halanay-type inequalities to establish the global (exponential) asymptotical stability of the disease free equilibrium of the model. It is further shown that the disease free equilibrium of the delayed model is globally asymptotically stable when the basic reproduction number of the model is less than 1. Published version 2016-12-28T08:23:41Z 2019-12-06T15:49:52Z 2016-12-28T08:23:41Z 2019-12-06T15:49:52Z 2016 Journal Article Wu, C., & Wong, P. J. Y. (2016). Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model. Advances in Difference Equations, 2016, 113-. 1687-1839 https://hdl.handle.net/10356/84704 http://hdl.handle.net/10220/41956 10.1186/s13662-016-0840-4 en Advances in Difference Equations © 2016 Wu and Wong. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/),which permits unrestricted use, distribution, and reproduction in anymedium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. 15 p. application/pdf
institution	Nanyang Technological University
building	NTU Library
country	Singapore
collection	DR-NTU
language	English
topic	Discrete Halanay-type inequalities Multi-dimension
spellingShingle	Discrete Halanay-type inequalities Multi-dimension Wu, Chunqing Wong, Patricia Jia Yiing Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model
description	In this paper, we establish two multi-dimensional discrete Halanay-type inequalities. As an application, we consider a malaria transmission model with two delays and employ the two discrete Halanay-type inequalities to establish the global (exponential) asymptotical stability of the disease free equilibrium of the model. It is further shown that the disease free equilibrium of the delayed model is globally asymptotically stable when the basic reproduction number of the model is less than 1.
author2	School of Electrical and Electronic Engineering
author_facet	School of Electrical and Electronic Engineering Wu, Chunqing Wong, Patricia Jia Yiing
format	Article
author	Wu, Chunqing Wong, Patricia Jia Yiing
author_sort	Wu, Chunqing
title	Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model
title_short	Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model
title_full	Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model
title_fullStr	Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model
title_full_unstemmed	Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model
title_sort	multi-dimensional discrete halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model
publishDate	2016
url	https://hdl.handle.net/10356/84704 http://hdl.handle.net/10220/41956
_version_	1681047016563539968

Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model

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