<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.