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

doi:10.3969/j.issn.1000-1565.2016.04.001

Journal of Hebei University (Natural Science Edition) ›› 2016, Vol. 36 ›› Issue (4): 337-342.DOI: 10.3969/j.issn.1000-1565.2016.04.001

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

CAO Jianzhi¹,BAO Junyan¹,ZHOU Meng²

1.College of Mathematics and Information Science, Hebei University, Baoding 071002, China; 2.Department of Information Engineering, Hebei Software Institue, Baoding 071000, China

Received:2015-05-01 Online:2016-07-25 Published:2016-07-25

Abstract

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

CLC Number:

O175.1

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.

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

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