title: Optimal forager against ideal free distributed prey.
abstract: The introduced dispersal-foraging game is a combination of prey habitat selection between two patch types and optimal-foraging approaches. Prey's patch preference and forager behavior determine the prey's survival rate. The forager's energy gain depends on local prey density in both types of exhaustible patches and on leaving time. We introduce two game-solution concepts. The static solution combines the ideal free distribution of the prey with optimal-foraging theory. The dynamical solution is given by a game dynamics describing the behavioral changes of prey and forager. We show (1) that each stable equilibrium dynamical solution is always a static solution, but not conversely; (2) that at an equilibrium dynamical solution, the forager can stabilize prey mixed patch use strategy in cases where ideal free distribution theory predicts that prey will use only one patch type; and (3) that when the equilibrium dynamical solution is unstable at fixed prey density, stable behavior cycles occur where neither forager nor prey keep a fixed behavior.
authors.affiliation: Hungarian Academy of Sciences-Eötvös University (MTA-ELTE) Theoretical Biology and Evolutionary Ecology Research Group; and Department of Plant Systematics, Ecology and Theoretical Biology, Eötvös University, Pázmány Péter sétány 1/c, H-1117 Budapest, Hungary.
authors.forename: József
authors.initials: J
authors.lastname: Garay
authors.forename: Ross
authors.initials: R
authors.lastname: Cressman
authors.forename: Fei
authors.initials: F
authors.lastname: Xu
authors.forename: Zoltan
authors.initials: Z
authors.lastname: Varga
authors.forename: Tomás
authors.initials: T
authors.lastname: Cabello
mesh_terms: D063147:Animal Distribution; D000818:Animals; D017753:Ecosystem; D005716:Game Theory; D011235:Predatory Behavior