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Delays in recruitment at different trophic levels: Effects on stability. (English) Zbl 0547.92014

Summary: Predator prey models in which there is a delay in recruitment in both species and only adults interact are formulated and studied. Stability results show that the length of delays in recruitment in the prey are more critical than the length of recruitment delays in the predator. Thus the destabilizing effect of recruitment delays may be less important in higher trophic levels than some single species models indicate. Variance in the recruitment delay is shown to be an important stabilizing influence.

MSC:

92D25 Population dynamics (general)
34K20 Stability theory of functional-differential equations
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