ON PREDATOR INVASION INTO A MULTI-PATCHY ENVIRONMENT OF 2 KINDS OF PATCHES

We consider a Lotka-Volterra prey-predator two-species system in a n-p atchy environment, assuming that predator can migrate among patches, w hile prey cannot. Those n patches are categorized into two groups, gro up 1 and group 2, according to the parameters determining the prey-pre dator relation and the predator's migration process. Prey population i n a patch of group 1 has parameters different from those for prey popu lation in a patch of group 2. Predator population inhabiting and emigr ating from a patch of group 1 has parameters different from those for predator population inhabiting and emigrating from a patch of group 2. Local stability of equilibrium states are analyzed, and the condition for the predator's invasion success is derived to discuss the effect of environmentally heterogeneous patchiness on the coexistence of prey and predator.