  The importance of the Allee effect in studying extinction vulnerability is
widely recognized by researchers, and neglecting it could adversely impact the
management of threatened or exploited populations [1]. In this article, we
examine a discrete predator-prey model where the prey population is associated
with two component Allee effects. We derive sufficient conditions for the
existence and local stability nature of the fixed points of the system. The
occurrence of Neimark-Sacker bifurcation is established, and sufficient
conditions are obtained along with the normal form. Numerically, we demonstrate
that the system exhibits Neimark-Sacker bifurcation for various system
parameters. Additionally, the numerical simulations indicate that certain
system parameters have threshold values, above or below which the populations
are driven to extinction due to the effect of the double Allee effect.
