A DIFFUSIVE PREDATOR-PREY MODEL WITH GENERALIST PREDATOR AND TIME DELAY

A diffusive predator-prey model with generalist predator and time delay

A diffusive predator-prey model with generalist predator and time delay

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Time delay in the resource limitation of the prey is incorporated into a diffusive predator-prey model with generalist predator.By analyzing bovi-shield gold fp 5 l5 the eigenvalue spectrum, time delay inducing instability and Hopf bifurcation are investigated.Some conditions for determining the bifurcation direction and the stability of the bifurcating periodic solution are obtained by utilizing the normal form method here and center manifold reduction for partial functional differential equation.

The results suggest that time delay can destabilize the stability of coexisting equilibrium and induce bifurcating periodic solution when it increases through a certain threshold.

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