Stability analysis of a Lotka-Volterra type predator-prey system involving Allee effects

Abstract

We present a stability analysis of steady-state solutions of a continuous-time predator– prey population dynamics model subject to Allee effects on the prey population which occur at low population density. Numerical simulations show that the system subject to an Allee effect takes a much longer time to reach its stable steady-state solution. This result differs from that obtained for the discrete-time version of the same model. doi:10.1017/S1446181111000630