Stability and Bifurcation Analysis in a Food Chain Model with Delay
In this paper, we investigate a delayed three-species food chain model. The existence and stability of equilibria are obtained. A explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by using the normal form and the center manifold theory.
Z. Li "Stability and Bifurcation Analysis in a Food Chain Model with Delay", Applied Mechanics and Materials, Vols. 110-116, pp. 3382-3388, 2012