Stunted Growth and Stepwise Die-Off in Animal Cohorts by Marten Scheffer, J.M. Baveco, Donald L. DeAngelis, E. H. R. R. Lammens, Brian J. Shuter.
A model of an animal cohort foraging on logistically growing food is analyzed. The problem captured in three differential equations, one for density and two the state cohort, keeping track body weight number individuals, respectively. When animals efficiently exploit their to low densities, produces cycles. cycles differ markedly from those produced by traditional predator-prey models. Consumer decline associated with starvation mortality when individuals lose too much weight. This condition causes a stepwise individual number, each step corresponding cycle. Because survivors period grow because larger have lower weight-specific metabolic rates, nature changes over time. They acquire slow-fast character increasing difference between consumer speed show distinct catastrophic features, as fast phases are caused jumping over-and u…
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