Marten Scheffer, Sergio Rinaldi, Yuri A. Kuznetsov, Egbert H. van Nes, Seasonal Dynamics of Daphnia and Algae Explained as a Periodically Forced Predator-Prey System, Oikos, Vol. 80, No. 3 (Dec., 1997), pp. 519-532
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Scheffer et al. (1997) studied this question.