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A differential game theoretical analysis of mechanistic models for territoriality
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- Author(s) / Creator(s)
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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. -
- Date created
- 2009-12-22
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- Subjects / Keywords
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- Type of Item
- Article (Draft / Submitted)