This work purports to analyze the influence of allochthonous nutrient input into consumer level in the ultimate dynamics of an omnivory food web, where consumption is dictated by non-switching and switching predators. Within this behavioral context, prey consumption structure is shown to have a markedly effect on food web dynamics under a gradient of allochthonous input and primary productivity. A striking feature is that in the non-switching model invasion of consumer and predator occurs sequentially in this order as density of carrying capacity increases, while in the switching model both predators and consumers are able to invade and persist irrespective of the considered carrying capacity levels.