Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors

In this paper, we investigate the non-cooperative reaction-diffusion model of nuclear reactors subject to the homogeneous Neumann boundary condition. By establishing appropriate Lyapunov functions, we prove the global stability of the unique positive constant equilibrium solution.

Bibliographic Details
Main Author:	Qunyi Bie
Format:	Article
Language:	English
Published:	University of Szeged 2012-02-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	non-cooperative model diffusion nuclear reactors global stability
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=795

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spelling	doaj-3703acca980e4e5a8c139d758d7825b72021-07-14T07:21:23ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752012-02-0120121611010.14232/ejqtde.2012.1.16795Global stability of the positive equilibrium for a non-cooperative model of nuclear reactorsQunyi Bie0College of Science, China Three Gorges University, Yichang City, Hubei Province, P. R. ChinaIn this paper, we investigate the non-cooperative reaction-diffusion model of nuclear reactors subject to the homogeneous Neumann boundary condition. By establishing appropriate Lyapunov functions, we prove the global stability of the unique positive constant equilibrium solution.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=795non-cooperative modeldiffusionnuclear reactorsglobal stability
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Qunyi Bie
spellingShingle	Qunyi Bie Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors Electronic Journal of Qualitative Theory of Differential Equations non-cooperative model diffusion nuclear reactors global stability
author_facet	Qunyi Bie
author_sort	Qunyi Bie
title	Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors
title_short	Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors
title_full	Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors
title_fullStr	Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors
title_full_unstemmed	Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors
title_sort	global stability of the positive equilibrium for a non-cooperative model of nuclear reactors
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2012-02-01
description	In this paper, we investigate the non-cooperative reaction-diffusion model of nuclear reactors subject to the homogeneous Neumann boundary condition. By establishing appropriate Lyapunov functions, we prove the global stability of the unique positive constant equilibrium solution.
topic	non-cooperative model diffusion nuclear reactors global stability
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=795
work_keys_str_mv	AT qunyibie globalstabilityofthepositiveequilibriumforanoncooperativemodelofnuclearreactors
_version_	1721303683493265408

Global stability of the positive equilibrium for a non-cooperative model of nuclear reactors

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