Dynamical Analysis in a Delayed Predator-Prey System with Stage-Structure for Both the Predator and the Prey

Dynamical Analysis in a Delayed Predator-Prey System with Stage-Structure for Both the Predator and the Prey

Blog Article

A predator-prey system with two delays and stage-structure for both the predator and the prey is considered.Sufficient conditions for the local stability scrunchies and the existence of periodic solutions via Hopf bifurcation with respect to both delays are obtained by analyzing the distribution of the roots of the associated characteristic equation.Specially, the direction of the Hopf bifurcation and the stability of the periodic solutions bifurcating Milk Powder from the Hopf bifurcation are determined by applying the normal form theory and center manifold argument.Some numerical simulations for justifying the theoretical analysis are also provided.