Speaker: Lydia Bilinsky
Arizona State University.

Title: "Impact of Quiescence on Predator-Prey Dynamics"

Abstract: The classical MacArthur-Rosenzweig predator-prey model has a stable limit cycle if prey carrying capacity is large and/or predator mortality is small. We have shown that the introduction of a quiescent phase for the prey and/or the predator can result in collapse of the limit cycle to a stable coexistence steady state; the exact stability domain is determined. Even when quiescence has not eliminated the limit cycle, numerical studies suggest that the limit cycle has shrunk. Implications of these findings for species conservation will be discussed.