Journal of Hebei University(Natural Science Edition) >

2016 , Vol. 36 >Issue 4: 337 - 342

DOI: https://doi.org/10.3969/j.issn.1000-1565.2016.04.001

Stability and Hopf bifurcation analysis for a class of genetic regulator model

  • CAO Jianzhi ,
  • BAO Junyan ,
  • ZHOU Meng
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  • 1.College of Mathematics and Information Science, Hebei University, Baoding 071002, China; 2.Department of Information Engineering, Hebei Software Institue, Baoding 071000, China

Received date: 2015-05-01

  Online published: 2016-07-25

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Abstract

The main purpose of this paper is to investigate a class of genetic regulator model which was described by ordinary differential equations using center manifold theory and normal form theorem. Some sufficient conditions which guarantee the local stability and Hopf bifurcation are obtained,and some numerical simulation for justifying the theoretical results is also provided.

Key words： genetic regular model; equilibrium; stability; Hopf bifurcation

Cite this article

CAO Jianzhi , BAO Junyan , ZHOU Meng . Stability and Hopf bifurcation analysis for a class of genetic regulator model[J]. Journal of Hebei University(Natural Science Edition), 2016 , 36(4) : 337 -342 . DOI: 10.3969/j.issn.1000-1565.2016.04.001

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