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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| Format: | Journal Article |
| Language: | English |
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2016
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| Online Access: | https://hdl.handle.net/10356/84704 http://hdl.handle.net/10220/41956 |
| _version_ | 1826129663493144576 |
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| author | Wu, Chunqing Wong, Patricia Jia Yiing |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Wu, Chunqing Wong, Patricia Jia Yiing |
| author_sort | Wu, Chunqing |
| collection | NTU |
| 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. |
| first_indexed | 2024-10-01T07:43:53Z |
| format | Journal Article |
| id | ntu-10356/84704 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:43:53Z |
| publishDate | 2016 |
| record_format | dspace |
| spelling | ntu-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 |
| 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 |
| title | 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_short | 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 |
| topic | Discrete Halanay-type inequalities Multi-dimension |
| url | https://hdl.handle.net/10356/84704 http://hdl.handle.net/10220/41956 |
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