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The Behavior of Spatially Homogeneous and Inhomogeneous Autocatalysis System at Infinity

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Publication:5069620
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DOI10.1080/1726037X.2014.979707zbMath1499.34267OpenAlexW2039135761MaRDI QIDQ5069620

M. Karimi Amaleh, A. Dasi

Publication date: 19 April 2022

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2014.979707

zbMATH Keywords

limit cycleautocatalysis modelinfinite singularity theory


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)




Cites Work

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  • Hopf bifurcation and Turing instability in spatial homogeneous and inhomogeneous predator-prey models
  • Spatiotemporal pattern formation and multiple bifurcations in a diffusive bimolecular model
  • Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
  • Hopf bifurcation analysis of a reaction-diffusion Sel'kov system
  • Size adaptation of Turing prepatterns
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