Global Bifurcation of Steady-State Solutions on a Biochemical System

DOI10.1137/0521005zbMath0692.92007OpenAlexW2028298714MaRDI QIDQ3035177

Chunqing Lu

Publication date: 1990

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0521005

zbMATH Keywords

global bifurcationsteady-state solutionspitchfork bifurcationoxygenMorse index theorembiochemistryreaction- diffusion equationsallantoinmono-enzyme membrane modelstoichiometric equationuric aciduricase

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Qualitative theory for ordinary differential equations (34C99) Bifurcations in context of PDEs (35B32) Physiological, cellular and medical topics (92Cxx)

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A global bifurcation theorem for a positone multiparameter problem and its application ⋮ Classification and evolution of bifurcation curves for a multiparameter \(p\)-Laplacian Dirichlet problem ⋮ Global bifurcation curves of a regularized MEMS model ⋮ Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications

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