Mathematically Modeling Prey-Catching Behavior of the Tomato Frog

Many microhylid frog species, such as the tomato frog, Dyscophus sp., have demonstrated ability to aim their tongues independently of head and jaw movements. However, a trade-off between tongue-aiming head-only aiming exists in which former allows for crypsis but lacks speed whereas latter is faster less accurate more noticeable prey. For frogs that can move heads, under what circumstances will they utilize each strategy, why? We derive model, dependent on factors relevant prey-catching, probability turn its (and not tongue) given prey angle. Our model behaves expected when altering prey-catching factors, underestimates turning behavior with increasing later allow variance perceived location be function find must generally increase