Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/84704
Title: Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model
Authors: Wu, Chunqing
Wong, Patricia Jia Yiing
Keywords: Discrete Halanay-type inequalities
Multi-dimension
Issue Date: 2016
Source: 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-.
Series/Report no.: Advances in Difference Equations
Abstract: 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.
URI: https://hdl.handle.net/10356/84704
http://hdl.handle.net/10220/41956
ISSN: 1687-1839
DOI: 10.1186/s13662-016-0840-4
Rights: © 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.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:EEE Journal Articles

SCOPUSTM   
Citations

3
checked on Sep 1, 2020

Page view(s)

218
checked on Oct 28, 2020

Download(s)

58
checked on Oct 28, 2020

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.