Analysis of a delayed predator-prey model with ratio-dependent functional response and quadratic harvesting
In this paper, we investigate the dynamics of a ratio dependent predator-prey model with quadratic harvesting. We examine the existence of the positive equilibria, the related dynamical behaviors of the model, as well as the boundedness and permanence property of the system. We also study the global stability of the interior equilibrium without time delay. Finally some bifurcation analysis is carried out for the system with delay and the results are illustrated numerically.
ratio dependent permanence time delay hopf bifurcation 34c05 34c25 92a15