Dynamics of an intraguild predation model with an adaptive IGpredator

In this paper, an intraguild predation model with an adaptive IGpredator is studied. IGpredator is assumed to adopt adaptive predation strategy to gain more fitness and the adaptive strength is variable. The existence and stability of the boundary equilibria and interior equilibrium are analyzed and it is found that the adaptive strength of IGpredator does not affect the stability of the boundary equilibria while it may change the stability of the interior equilibrium. Then we investigate numerically the effects of adaptive intraguild predation on the community structure along a gradient in environment productivity and find that it is possible for the appearance of the paradox of enrichment for intermediate speed of adaptivity. We also explore numerically how the dynamics of the adaptive system are affected by the adaptive strength of IGpredator. It is shown that the stationary coexistence of three species is stable when adaptation is strong and that a periodic solution with large amplitude appears when adaptation is weak, which implies that the adaptive activity of IGpredator to improve its fitness may lead to extinction of itself.