TY - JOUR
T1 - Hopf Bifurcation and Singularity Induced Bifurcation in a Leslie-Gower Predator-Prey System with Nonlinear Harvesting
AU - Liu , Wei
AU - Jiang , Yaolin
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 181
EP - 216
PY - 2020
DA - 2020/01
SN - 10
DO - http://doi.org/10.4208/eajam.030519.110719
UR - https://global-sci.org/intro/article_detail/eajam/13609.html
KW - Predator-prey, nonlinear harvesting, delay, Hopf bifurcation, singularity-induced bifurcation.
AB - <p style="text-align: justify;">A modified 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 finite 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.</p>