A foraging problem: Sit-and-wait versus active predation

The literature on foraging shows that some predators use a combination of ambush and active search to locate a prey. Let us suppose that a prey must go every day to some determined places to feed, and to another place, 0, to drink. A predator can stay at zone 0 waiting for the prey (sit-and-wait str...

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Bibliographic Details
Published in:European journal of operational research 2011-01, Vol.208 (2), p.131-141
Main Authors: Zoroa, N., Fernández-Sáez, M.J., Zoroa, P.
Format: Article
Language:English
Subjects:
Applied sciences
Biological and medical sciences
Economic models
Exact sciences and technology
Fundamental and applied biological sciences. Psychology
Game theory
Game theory Two-person games Search games Search problems Predator-prey interactions
General aspects
Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects)
Operational research and scientific management
Operational research. Management science
Optimization techniques
Predator–prey interactions
Search games
Search problems
Studies
Two-person games
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Summary:The literature on foraging shows that some predators use a combination of ambush and active search to locate a prey. Let us suppose that a prey must go every day to some determined places to feed, and to another place, 0, to drink. A predator can stay at zone 0 waiting for the prey (sit-and-wait strategy) or it can move between the different places where the prey will go to eat (search strategy). If predator and prey meet each other in the same place, prey will be caught with a probability depending on the place. We study this problem in different situations, modelling them as two-person zero-sum games. We solve them in closed form, giving optimal strategies for prey and for predator and the value of the games.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2010.08.001