Name
Abstract | ||
|---|---|---|
We investigate the dynamics of a differential-algebraic bioeconomic model with two time delays. Regarding time delay as a bifurcation parameter, we show that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay increases. Using the theories of normal form and center manifold, we also give the explicit algorithm for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions. Numerical tests are provided to verify our theoretical analysis. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1155/2012/768364 | JOURNAL OF APPLIED MATHEMATICS |
Field | DocType | Volume |
Numerical tests,Mathematical optimization,Center manifold,Algebraic number,Mathematical analysis,Pitchfork bifurcation,Periodic graph (geometry),Mathematics,Hopf bifurcation,Bifurcation | Journal | 2012 |
Issue | ISSN | Citations |
null | 1110-757X | 0 |
PageRank | References | Authors |
0.34 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaojian Zhou | 1 | 74 | 9.19 |
| Xin Chen | 2 | 0 | 0.34 |
| Yongzhong Song | 3 | 128 | 22.82 |