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Adaptive Behaviour in a Predator-prey Model Leads to Multiple Equilibrium States

Alexander PimenovAndrei KorobeinikovDmitrii Rachinskii

出版	Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014
URL	http://books.google.com.hk/books?id=gDcpvwEACAAJ&hl=&source=gbs_api

註釋

There is evidence that multiple stable equilibrium states are possible in real-life ecological systems. In order to verify a hypothesis that such a multitude of equilibrium states can be caused by adapting of animal behaviour to changes of environmental conditions, we consider a simple predator-prey model where prey changes a mode of behaviour in response to the pressure of predation. This model exhibits two stable coexisting equilibrium states with basins of attraction separated by a separatrix of a saddle point.