Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (2): 366-373.

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Turing Instability and Hopf Bifurcation of a Bimolecular Model with Autocatalysis and Saturation Law

Zhou Jun   

  1. School of Mathematics and Statistics, Southwest University, Chongqing 400715
  • Received:2016-06-14 Revised:2016-10-18 Online:2017-04-26 Published:2017-04-26
  • Supported by:
    Supported by the NSFC (11201380), the Basic and Advanced Research Project of CQC-STC (cstc2016jcyjA0018), the China Postdoctoral Science Foundation (2014M550453, 2015T80948) and the Fundamental Research Funds for the Central Universities (XDJK2015A16)

Abstract: This paper deals with a bimolecular model with autocatalysis and saturation law. By analyzing the eigenvalues of the linearized system and using the bifurcation theory, we derive the conditions to occurrence Turing instability and Hopf bifurcation from the unique constant solution. Numerical simulations are presented to verify and illustrate the theoretical results.

Key words: Bimolecular model, Autocatalysis, Turing instability, Hopf bifurcation

CLC Number: 

  • O175.26
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