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

• 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
• ISSN: 1417-3875; 1417-3875

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.