Stability and Bifurcation for a Delayed Predator–Prey Model and the Effect of Diffusion☆

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Bifurcations for a predator-prey system with two delays ✩ (2008, background): “1) have been extensively studied (see, for example, [1,3,6,10,19], and references therein).”
On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay ⁄ (2009, unknown): “Next, choosing τ as a bifurcation parameter and following the normal form theory developed by Faria and Magalhães [34], we discuss the explicit expressions of the normal form of system (4.1) in terms of the original parameters in a small neighborhood of τ k .”
Stability and bifurcation analysis for a delayed Lotka-Volterra predator-prey system (2006, unknown): “By following the procedure of deriving normal form due to Faria and Magalhães [4], the normal form of the Hopf bifurcations is given for the general case of system (1.1).”
Delay Differential Equations and Applications (2006, background): “theory to a 2-dimensional RDequation with two delays, see [40].”