Stability analysis of a biological network

In this paper, we study qualitative behavior of a network of two genes repressing each other. More precisely, we investigate the boundedness character and persistence, existence and uniqueness of positive steady-state, local asymptotic stability and global behavior of unique positive equilibrium poi...

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Main Author: Q. Din
Format: Article
Language:English
Published: International Academy of Ecology and Environmental Sciences 2014-09-01
Series:Network Biology
Subjects:
Online Access:http://www.iaees.org/publications/journals/nb/articles/2014-4(3)/stability-analysis-of-a-biological-network.pdf
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spelling doaj-6d5b6ff336e341f4b95df950534679352020-11-25T00:35:12ZengInternational Academy of Ecology and Environmental SciencesNetwork Biology2220-88792220-88792014-09-0143123129Stability analysis of a biological networkQ. Din0Department of Mathematics, University of Poonch Rawalakot, PakistanIn this paper, we study qualitative behavior of a network of two genes repressing each other. More precisely, we investigate the boundedness character and persistence, existence and uniqueness of positive steady-state, local asymptotic stability and global behavior of unique positive equilibrium point of this model. http://www.iaees.org/publications/journals/nb/articles/2014-4(3)/stability-analysis-of-a-biological-network.pdfbiological networkstability analysislocal asymptotic stabilityglobal behavior
collection DOAJ
language English
format Article
sources DOAJ
author Q. Din
spellingShingle Q. Din
Stability analysis of a biological network
Network Biology
biological network
stability analysis
local asymptotic stability
global behavior
author_facet Q. Din
author_sort Q. Din
title Stability analysis of a biological network
title_short Stability analysis of a biological network
title_full Stability analysis of a biological network
title_fullStr Stability analysis of a biological network
title_full_unstemmed Stability analysis of a biological network
title_sort stability analysis of a biological network
publisher International Academy of Ecology and Environmental Sciences
series Network Biology
issn 2220-8879
2220-8879
publishDate 2014-09-01
description In this paper, we study qualitative behavior of a network of two genes repressing each other. More precisely, we investigate the boundedness character and persistence, existence and uniqueness of positive steady-state, local asymptotic stability and global behavior of unique positive equilibrium point of this model.
topic biological network
stability analysis
local asymptotic stability
global behavior
url http://www.iaees.org/publications/journals/nb/articles/2014-4(3)/stability-analysis-of-a-biological-network.pdf
work_keys_str_mv AT qdin stabilityanalysisofabiologicalnetwork
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