/HawkDove

Individual-based modelling of a stabilised food chain in space with time-scale separation dynamics

Individual based modelling of a predator's hawk-dove strategy in a closed bottle.

Matthew Malishev^1,2^*, Bob Kooi^3^ & Sebastiaan A. L. M. Kooijman^3^

^1^ Centre of Excellence for Biosecurity Risk Analysis, ^2^ School of BioSciences, University of Melbourne, Parkville, Melbourne, 3010, Australia
^3^ Department of Theoretical Biology, Vrije Universiteit, De Boelelaan 1087, 1081 HV Amsterdam, The Netherlands
*Corresponding author: matthew.malishev@gmail.com

Poster for EcoTas13, Nov 24–29, Auckland, New Zealand.

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Individual-based model of closed predator-prey system following game theory dynamics with full mass conservation.

Select trait

  • Hawk (p)
  • Dove (1 – p)

Abilities (dove)

  • Always share prey with another dove.

Abilities (hawk)

  • Always beat dove
  • If competing with a hawk, you incur a cost, C, and a 0.5 probability of gaining prey, G.

Controls on the fast time scale

  • searching, handling, or fighting.

References

[1] Kooijman, S. A. L. M., Grasman, J. & Kooi, B. W. (2007) A new class of non linear stochastic population models with mass conservation. Mathematical Biosciences, 210:378–394.
[2] Auger, P., Kooi, B. W., Bravo de la Parra, R. & Poggiale, J. C. (2006) Bifurcation analysis of a predator-prey model with predators using hawk and dove tactics. Journal of Theoretical Biology, 238:597–607.
[3] Kooijman, S. A. L. M. (2010) Dynamic Energy Budget theory for metabolic organization, Cambridge University Press, Cambridge.
[4] Holling, C. S. (1959) Some characteristics of simple types of predation and parasitism. Canadian Entomologist, 91:395–398.
[5] DeAngelis, D. L., Goldstein, R. A. & O'Neill, R. V. (1975) A model for trophic interaction. Ecology, 56(4):881¬–892.
[6] van Voorn, G. A. K., Stiefs, D., Gross, T., Kooi, B. W., Feudel, U. & Kooijman, S. A. L. M. (2008) Stabilization due to predator interference: comparison of different analysis approaches. Mathematical Biosciences and Engineering, 5(3):567–583.
[7] Kooi, B. W. (2015) Modelling the dynamics of traits involved in fighting-predators–prey system. Journal of mathematical biology, 71(6-7), 1575–1605.