Song, Yongli; Zhang, Tonghua Global stability of the positive equilibrium of a mathematical model for unstirred membrane reactors. (English) Zbl 1516.35062 Bull. Korean Math. Soc. 54, No. 2, 383-389 (2017). Summary: This paper devotes to the study of a diffusive model for unstirred membrane reactors with maintenance energy subject to a homogeneous Neumann boundary condition. It shows that the unique constant steady state is globally asymptotically stable when it exists. This result further implies the non-existence of the non-uniform steady state solution. Cited in 3 Documents MSC: 35B35 Stability in context of PDEs 35K51 Initial-boundary value problems for second-order parabolic systems 35K57 Reaction-diffusion equations 92D25 Population dynamics (general) Keywords:diffusion; global stability; local stability; membrane reactor; Lyapunov function PDFBibTeX XMLCite \textit{Y. Song} and \textit{T. Zhang}, Bull. Korean Math. Soc. 54, No. 2, 383--389 (2017; Zbl 1516.35062) Full Text: DOI