Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635793 | Applied Mathematics and Computation | 2006 | 13 Pages |
Abstract
In this paper, a Logistic model with discrete and distributed delays is investigated. We first consider the stability of the positive equilibrium and the existence of local Hopf bifurcations. In succession, using the normal form theory and center manifold argument, we derive the explicit formulas which determine the stability, direction and other properties of bifurcating periodic solutions. A numerical simulation for supporting the theoretical analysis is also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yongli Song, Yahong Peng,