Bifurcation Analysis and Control of a Differential-Algebraic Predator-Prey Model with Allee Effect and Time Delay

Table 1

Equilibrium points and eigenvalues of the model (7) for different Allee effect constants and economic revenue.

Allee effect	Economic profit	Equilibrium point	Eigenvalues
𝐴=0.02	𝑚=−0.01; 𝑚=0.01	(0.957, 0.0284, 1.424); (0.956, 0.0288, 1.264)	−0.930, −201.571; −0.929, 161.025
𝐴=0.1	𝑚=−0.01; 𝑚=0.01	(0.874, 0.0285, 2.367); (0.874, 0.0288, 1.142)	−0.775, −559.217; −0.774, 131.598
𝐴=0.5	𝑚=−0.01; 𝑚=0.01	(0.442, 0.0265, 0.136); (0.435, 0.0311, 0.115)	−0.203, −1.684; −0.162, 1.420