Acta mathematica scientia,Series A ›› 1999, Vol. 19 ›› Issue (2): 187-195.

• Articles • Previous Articles     Next Articles

Hopf bifurcation in the multi-dimension biomathematics model under small perturbation

  

  1. (Center for Mathematical Sciences,CICA,Academia Sinica,Chengdu 61004(Department of Mathematics,Southwest Nationalities College,Chengdu 610041 (Center for Mathematical Sciences, CICA, Academia Sinica, Chengdu 610041)
  • Online:1999-05-01 Published:1999-05-01

Abstract:

The six-dimension biomathematics model is studied. Interactions among the microbes are considered and the model in [1] [2] is improved. The problems on center manifold and Hopf bifurcation a re discussed .The center manifold and the criterion quantity of Hopf bifurcation are computed by using symbolic software based on computer algebra. The numerical examples are given. The idea and method on Automated Theorem proving can be applied to various complex biodynamical systems.

Key words: Qualitativetheory, Equilibrium points, Center manifold, Hopfbifurcation, Computeralgebra

CLC Number: 

  • 34C
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