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Stability and Hopf bifurcation for a regulated logistic growth model with discrete and distributed delays
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Dec2009, Vol. 14 Issue 12, p4292-4303. 12p. - Publication Year :
- 2009
-
Abstract
- Abstract: In this paper, we investigate the stability and Hopf bifurcation of a new regulated logistic growth with discrete and distributed delays. By choosing the discrete delay as a bifurcation parameter, we prove that the system is locally asymptotically stable in a range of the delay and Hopf bifurcation occurs as crosses a critical value. Furthermore, explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived by normal form theorem and center manifold argument. Finally, an illustrative example is also given to support the theoretical results. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 14
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 41433023
- Full Text :
- https://doi.org/10.1016/j.cnsns.2009.03.006