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Cycles of fear: Periodic bloodsucking rates for vampires (1992)

Hartl, R. F. ; Mehlmann, A. ; Novak, A.

Springer

Journal of optimization theory and applications 75 (1992), S. 559-568

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ISSN: 1573-2878

Keywords: Maximum principle ; limit cycles ; economics of human resources ; vampire myths

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract In this paper, we present a new approach for modelling 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00940492

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