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MiS Preprint

Distributed Delays Stabilize Ecological Feedback Systems

Christian Eurich, Andreas Thiel and Lorenz Fahse


We consider the effect of distributed delays in predator-prey models and ecological food webs. Whereas the occurrence of delays in population dynamics is usually regarded a destabilizing factor leading to the extinction of species, we here demonstrate complementarily that delay distributions yield larger stability regimes than single delays. Food webs with distributed delays closely resemble non-delayed systems in terms of ecological stability measures. Thus, we state that dependence of dynamics on multiple instances in the past is an important, but so far underestimated factor for stability in dynamical systems.

Apr 5, 2005
Apr 5, 2005
02.30.Ks, 87.10.+e, 87.23.Cc
biological feedback systems

Related publications

2005 Repository Open Access
Christian W. Eurich, Andreas Thiel and Lorenz Fahse

Distributed delays stabilize ecological feedback systems

In: Physical review letters, 94 (2005) 15, p. 158104