PRINCIPLES OF COMPETITIVE-EXCLUSION FOR DISCRETE POPULATIONS WITH REPRODUCING JUVENILES AND ADULTS

We invent notions of dominance and weak dominance for discrete multi-s pecies systems with competing juveniles and adults. In this model, bot h the juveniles and adults are allowed to reproduce. We prove that, a dominant species drives the dominated species to extinction. In discre te juvenile-adult systems that do not allow juveniles to reproduce, it is known that weak dominance is equivalent to dominance, provided all the growth functions are exponentials. We show that if juveniles are allowed to reproduce, then a weakly dominant species could be driven t o extinction. If all the growth functions are exponential functions, w e obtain sufficient conditions that guarantee the equivalence of weak dominance and dominance.