Electronic Journal of Qualitative Theory of Differential Equations (Feb 2012)

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

  • Qunyi Bie

DOI
https://doi.org/10.14232/ejqtde.2012.1.16
Journal volume & issue
Vol. 2012, no. 16
pp. 1 – 10

Abstract

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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.

Keywords