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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.
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참고문헌 (11)
참고문헌 신청
D. Henry / 1993 / Geometric theory of semilinear parabolic equations / Springer-Verlag
H. L. Smith / 2008 / The Theory of the Chemostat: Dynamics of Microbial Competition / Cambridge University Press
J. H. Merkin / 1996 / Wave-induced chaos in a continuously fed unstirred reactor / J. Chemical Soc. Faraday Transactions 92 (16) : 2911 ~ 2918
K. Hattaf / 2013 / Global stability for reaction-diffusion equations in biology / Comput. Math. Appl 66 (8) : 1488 ~ 1497
M. I. Nelson / 2008 / A fundamental analysis of continuous flow bioreactor and membrane reactor models with death and maintenance included / Asia-Pacific J. of Chemical Engin
H. L. Smith / 2008 / The Theory of the Chemostat: Dynamics of Microbial Competition / Cambridge University Press
J. H. Merkin / 1996 / Wave-induced chaos in a continuously fed unstirred reactor / J. Chemical Soc. Faraday Transactions 92 (16) : 2911 ~ 2918
K. Hattaf / 2013 / Global stability for reaction-diffusion equations in biology / Comput. Math. Appl 66 (8) : 1488 ~ 1497
M. I. Nelson / 2008 / A fundamental analysis of continuous flow bioreactor and membrane reactor models with death and maintenance included / Asia-Pacific J. of Chemical Engin
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