Delays in recruitment at different trophic levels: Effects on stability
- 1 December 1984
- journal article
- research article
- Published by Springer Nature in Journal of Mathematical Biology
- Vol. 21 (1) , 35-44
- https://doi.org/10.1007/bf00275221
Abstract
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.Keywords
This publication has 11 references indexed in Scilit:
- Age-dependent predation is not a simple process. II. Wolves, ungulates, and a discrete time model for predation on juveniles with a stabilizing tailTheoretical Population Biology, 1984
- Age-dependent predation is not a simple process. I. Continuous time modelsTheoretical Population Biology, 1983
- A predator prey model with age structureJournal of Mathematical Biology, 1982
- Multiple limit cycles in predator-prey modelsJournal of Mathematical Biology, 1981
- Time Lags in Biological ModelsPublished by Springer Nature ,1978
- Time delay in prey-predator modelsMathematical Biosciences, 1976
- The Stability and the Intrinsic Growth Rates of Prey and Predator PopulationsEcology, 1975
- Predation and Population StabilityPublished by Elsevier ,1975
- Time‐Delay Versus Stability in Population Models with Two and Three Trophic LevelsEcology, 1973
- ON THEORETICAL MODELS FOR COMPETITIVE AND PREDATORY BIOLOGICAL SYSTEMSBiometrika, 1957