<If the predator has killed the target pest species it will starve soon afterwards by malnutrition.> Hello Henk, Is it likely that an introduced predatory species would completely eradicate a prey species, and then become locally extinct itself? Isn't it more likely that a permanent cyclic population dynamic would result, where the predator kills off most of the prey species, which causes the predator population to decrease, which allows the remnant prey population to increase, which causes the predator population to increase, etc., etc.?? Paul M.