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 the eigenvalue spectrum, time delay inducing instability and Hopf bifurcation are investigated.Some conditions for determining the bifurcation direction swisse high strength magnesium powder berry and the stability of the bifurcating periodic solution are obtained by utilizing the virginia mill works tobacco road acacia normal form method 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.