A differential game theoretical analysis of mechanistic models for territoriality

  • Author(s) / Creator(s)
  • In this paper, elements of differential game theory are used to analyze a
    spatially explicit home range model for interactingwolf packs when movement behavior
    is uncertain. The model consists of a system of partial differential equations whose
    parameters reflect the movement behavior of individuals within each pack and whose
    steady-state solutions describe the patterns of space-use associated to each pack. By
    controlling the behavioral parameters in a spatially-dynamic fashion, packs adjust their
    patterns of movement so as to find a Nash-optimal balance between spreading their
    territory and avoiding conflict with hostile neighbors. On the mathematical side, we
    show that solving a nonzero-sum differential game corresponds to finding a non-invasible
    function-valued trait. From the ecological standpoint, when movement behavior
    is uncertain, the resulting evolutionarily stable equilibrium gives rise to a buffer-zone,
    or a no-wolf’s land where deer are known to find refuge.

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  • Type of Item
    Article (Draft / Submitted)
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    Attribution-NonCommercial 4.0 International