| Abstract: |
| We consider a three-species intraguild predation (IGP) model which includes a predator (IG predator) and its prey (IG prey) that share a common resource, and where the IG prey population is partitioned into juvenile and adult stages. The juvenile IG preys are assumed to have little ability of predation and are able to avoid the IG predators by taking refuge. The maturation age of the IG prey population is reflected by a time delay. Conditions for the existence and local stability of all non-negative equilibria are given using the delay as the main parameter. In particular, we show that the positive equilibrium may switch stability at some critical delay value where Hopf bifurcation occurs. Numerical continuation in DDE-Biftool is used to illustrate our results. |
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