Journal of Optimization Theory and Applications

, Volume 75, Issue 3, pp 559–568

Cycles of fear: Periodic bloodsucking rates for vampires


  • R. F. Hartl
    • Department of Operations ResearchTechnische Universität Wien
  • A. Mehlmann
    • Department of Operations ResearchTechnische Universität Wien
  • A. Novak
    • Institute of StatisticsUniversität Wien
Contributed Papers

DOI: 10.1007/BF00940492

Cite this article as:
Hartl, R.F., Mehlmann, A. & Novak, A. J Optim Theory Appl (1992) 75: 559. doi:10.1007/BF00940492


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 principlelimit cycleseconomics of human resourcesvampire myths

Copyright information

© Plenum Publishing Corporation 1992