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CYCLES OF FEAR: PERIODIC BLOODSUCKING RATES FOR VAMPIRES

R. F. Hartl[1]Associate Professor, Department of Operations Research, Technische Universität Wien, Austria

A. Mehlmann[1]Associate Professor, Department of Operations Research, Technische Universität Wien, Austria

A. Novak[2]Research Assistant, Department of Operations Research, Technische Universität Wien, Austria


Abstract:
In this paper, we present a new approach for modeling the dynamic intertemporal confrontation between vampires and humans. It is assumed that the change of the vampiristic consumption rate induces costs and that the vampire community also derives some utility from possessing humans and not only from consuming them. Using the Hopf bifurcation theorem it can be shown that cyclical bloodsucking strategies are optimal. These results are in accordance with empirical evidence.

Keywords: maximum principle; limit cycles; economics of human resources; vampire myth