Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630738 | Applied Mathematics and Computation | 2011 | 11 Pages |
Abstract
In this paper, a competitive Lotka–Volterra system with three delays is investigated. By choosing the sum ττ of three delays as a bifurcation parameter, we show that in the above system, Hopf bifurcation at the positive equilibrium can occur as ττ crosses some critical values. And we obtain the formulae determining direction of Hopf bifurcation and stability of the bifurcating periodic solutions by using the normal form theory and center manifold theorem. Finally, numerical simulations supporting our theoretical results are also included.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Maoxin Liao, Xianhua Tang, Changjin Xu,