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The phenomenon of cyclical bloodsucking patterns has been noted by many scholars of vampirology, but as yet no attempt has been made to offer a rational interpretation of it. In this paper we presented a theoretical explanation of those cycles of fear. The model proposed has two features that distinguishes it from traditional approaches to demographic oscillations. First, it is based on a controlled Lotka-Volterra type of system. Second, the fluctuations are the result of optimal choices of consumption over time.