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Hopf bifurcation and multiple limit cycles in bio-chemical reaction of the morphogenesis process

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Publication:848195
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DOI10.1007/S10910-009-9597-2zbMath1200.92021OpenAlexW1993093477MaRDI QIDQ848195

Minaya Villasana, Le-Min Zhu, Si Yuan Wang, Xun-Cheng Huang

Publication date: 2 March 2010

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-009-9597-2


zbMATH Keywords

limit cyclesHopf bifurcationbiochemical reactionstemporal morphogenesis


Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Biophysics (92C05)





Cites Work

  • Unnamed Item
  • A three-dimensional chemostat with quadratic yields
  • Temporal organization in a morphogenetic field
  • Conditions for uniqueness of limit cycles in general predator-prey systems
  • Pattern formation in morphogenesis. Analytical treatment of the Gierer- Meinhardt model on a sphere
  • Limit cycles in a general Kolmogorov model
  • Limit cycles in morphogenesis
  • Stability of a general predator-prey model




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