ANALYSIS OF MULTI-SPECIES ECOLOGICAL AND EVOLUTIONARY DYNAMICS. 3. The Rosenzweig-MacArthur prey -predator model (S. Rinaldi)
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ANALYSIS OF MULTI-SPECIES ECOLOGICAL AND EVOLUTIONARY DYNAMICS
The Rosenzweig-MacArthurprey-predator model (S. Rinaldi)
Evidence of prey-predator cycles in Nature. Analysis of the Rosenzweig-MacArthurprey-predator model. Predator extinction, stationarycoexistence, and cycliccoexistence. Hopfbifurcation.
Analysis of EvolutionaryProcesses, Princeton Univ. Press, 2008, pp. 256-258
Ecole Normale SupĂ©rieure, Paris
December 9-13, 2013
For eachvalue of the efficiencythereis a uniquemode of behavior:
I Predator extinction (lowefficiency)
II Stationarycoexistence (medium efficiency)
III Cycliccoexistence (high efficiency)