Optimal Forager Against Ideal Free Distributed Prey

Garay, József and Cressman, Ross and Xu, Fei and Varga, Zoltan and Cabello, Tomás (2015) Optimal Forager Against Ideal Free Distributed Prey. AMERICAN NATURALIST, 186 ( 1). 111-122.. ISSN 0003-0147

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Abstract

The introduced dispersal-foraging game is a combination of prey habi2 tat selection among two patch types and optimal foraging approaches. Prey’s patch 3 preference and forager behavior determine the prey’s survival rate. The forager’s 4 energy gain depends on local prey density in both types of exhaustible patches and 5 on leaving time. 6 We introduce two game solution concepts. The static solution combines the ideal 7 free distribution of the prey with optimal foraging theory. The dynamical solution 8 is given by a game dynamics, describing the behavioral changes of prey and forager. 9 We show that (a) each stable equilibrium dynamical solution is always a static 10 solution, but not conversely; (b) at an equilibrium dynamical solution, the forager 11 can stabilize prey mixed patch use strategy in cases where ideal free distribution 12 theory predicts that prey will use only one patch type; (c) when the equilibrium 13 dynamical solution is unstable at fixed prey density, stable behavior cycles occur 14 where neither forager nor prey keep a fixed behavior.

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