Finite-time predator blow-up conjecture for the delayed predator-prey model

Let $X(t)$) and $Y(t)$ denote the prey and predator populations in the delayed predator-prey system, and let $\delta_1$ be the parameter appearing in the blow-up estimate. Suppose $\delta_1>0$, and suppose the initial condition satisfies the largeness condition given by

$$\ln\left(\dfrac{|X(0)|}{\frac{E}{D-\delta_1}-A}\right)>\frac{1}{\delta_1|Y_0|}.$$

Finite-time predator blow-up conjecture. For the delayed system, the predator population explodes to infinity in finite time.

This claim concerns the blow-up boundary separating initial conditions leading to finite-time blow-up from those attracted to equilibria or limit cycles. The supplied text gives no resolution status.