Volume 10, Issue 1
Hopf Bifurcation and Singularity Induced Bifurcation in a Leslie-Gower Predator-Prey System with Nonlinear Harvesting

Wei Liu and Yaolin Jiang

10.4208/eajam.030519.110719

East Asian J. Appl. Math., 10 (2020), pp. 181-216.

Preview Full PDF BiBTex 38 162
  • Abstract

A modifified predator-prey model with a new nonlinear harvesting on predator and gestation delay of prey is studied. It is shown that the stability of interior equilibrium point can switch fifinite times and Hopf bifurcations occur when delay increases through critical values. The properties of the Hopf bifurcations are investigated by the center manifold theorem. Special attention is paid to singularity-induced bifurcations and their state feedback control. Numerical simulations demonstrate the effectiveness of the theoretical results.

  • History

Published online: 2020-01

  • AMS Subject Headings

34D20, 34C23, 34C25, 92D25

  • Cited by