Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626919 | Applied Mathematics and Computation | 2015 | 10 Pages |
Abstract
In this study, a delayed ratio dependent Holling–Tanner type predator–prey model is investigated. First, the local stability of a positive equilibrium is studied and then the existence of Hopf bifurcations is established. By using the normal form theory and center manifold theorem, the explicit algorithm determining the stability, direction of the bifurcating periodic solutions are derived. Finally, we perform the numerical simulations for justifying the theoretical results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Canan Çelik,