Optimal forager against ideal free distributed prey
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2015-05-13Abstract
The introduced dispersal-foraging game is a combination of prey habitat selection between two patch types and optimalforaging
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 o...
Palabra/s clave
Dispersal-foraging game
Game dynamics
Ideal free distribution
Optimal foraging