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

Huseyin Merdan

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

Keywords


Allee effects; population dynamics; stability analysis; predator–prey model



DOI: http://dx.doi.org/10.21914/anziamj.v52i0.3418



Remember, for most actions you have to record/upload into this online system
and then inform the editor/author via clicking on an email icon or Completion button.
ANZIAM Journal, ISSN 1446-8735, copyright Australian Mathematical Society.