Allee effect in a prey-predator system

摘要: Abstract We construct a model of specialist predator and its prey species for the case non-overlapping generations we assume that obeys to Allee effect. observe that, small values minimal viable population prey, there are stable dynamical configurations corresponding either fixed points or limit cycle which supports quasiperiodic orbits. In this last paradox enrichment, where an initial increase may lead cycles very fast subsequent decrease population. This behavior increases probability extinction due unpredictable external factors. consider also non-zero dispersal neighboring sites predation causes disappearance rescue effect, even when threshold is small.