Contributed Papers

Journal of Optimization Theory and Applications

, Volume 75, Issue 3, pp 559-568

First online:

Cycles of fear: Periodic bloodsucking rates for vampires

  • R. F. HartlAffiliated withDepartment of Operations Research, Technische Universität Wien
  • , A. MehlmannAffiliated withDepartment of Operations Research, Technische Universität Wien
  • , A. NovakAffiliated withInstitute of Statistics, Universität Wien

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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.

Key Words

Maximum principle limit cycles economics of human resources vampire myths