caa a22 4500 47714053X CHVBK 20180405111731.0 cr unu---uuuuu 170330e19971101xx s 000 0 eng 10.1007/s002850050088 doi (NATIONALLICENCE)springer-10.1007/s002850050088 Complex dynamic behaviour of autonomous microbial food chains [Elektronische Daten] [B. W. Kooi, M. P. Boer, S. A. L. M. Kooijman] Abstract.:  The dynamic behaviour of food chains under chemostat conditions is studied. The microbial food chain consists of substrate (non-growing resources), bacteria (prey), ciliates (predator) and carnivore (top predator). The governing equations are formulated at the population level. Yet these equations are derived from a dynamic energy budget model formulated at the individual level. The resulting model is an autonomous system of four first-order ordinary differential equations. These food chains resemble those occuring in ecosystems. Then the prey is generally assumed to grow logistically. Therefore the model of these systems is formed by three first-order ordinary differential equations. As with these ecosystems, there is chaotic behaviour of the autonomous microbial food chain under chemostat conditions with biologically relevant parameter values. It appears that the trajectories on the attractors consists of two superimposed oscillatory behaviours, a slow one for predator-top predator and a fast one for the prey-predator on one branch at which the top predator increases slowly. In some regions of the parameter space there are multiple attractors. Springer-Verlag Berlin Heidelberg, 1997 Key words: Bifurcation diagram nationallicence Chaos nationallicence Chemostat nationallicence Food chain nationallicence Existence and stability nationallicence Limit cycle nationallicence Kooi B. W. Faculty of Biology, Free University, De Boelelaan 1087, 1081 HV Amsterdam, The Netherlands, NL aut Boer M. P. Faculty of Biology, Free University, De Boelelaan 1087, 1081 HV Amsterdam, The Netherlands, NL aut Kooijman S. A. L. M. Faculty of Biology, Free University, De Boelelaan 1087, 1081 HV Amsterdam, The Netherlands, NL aut https://doi.org/10.1007/s002850050088 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002850050088 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kooi B. W. Faculty of Biology, Free University, De Boelelaan 1087, 1081 HV Amsterdam, The Netherlands, NL aut NATIONALLICENCE 700 1- Boer M. P. Faculty of Biology, Free University, De Boelelaan 1087, 1081 HV Amsterdam, The Netherlands, NL aut NATIONALLICENCE 700 1- Kooijman S. A. L. M. Faculty of Biology, Free University, De Boelelaan 1087, 1081 HV Amsterdam, The Netherlands, NL aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer