  In this paper, we consider the standard discrete-time slotted ALOHA with a
finite number of terminals with infinite size buffers. In our study, we jointly
consider the stability of this system together with the physical layer
security. We conduct our studies on both dominant and original systems, where
in a dominant system each terminal always has a packet in its buffer unlike in
the original system. For N = 2, we obtain the secrecy-stability regions for
both dominant and original systems. Furthermore, we obtain the transmission
probabilities, which optimize system throughput. Lastly, this paper proposes a
new methodology in terms of obtaining the joint stability and secrecy regions.
