The multi-patch logistic equation with asymmetric migration

This paper is a follow-up to previous work where we considered multi-patch model, each patch following logistic law, the patches being coupled by symmetric migration terms. In this drop symmetry hypothesis. First, in case of perfect mixing, i.e when rate tends infinity, total population follows law with carrying capacity which general different from sum n capacities, and depends on Second, determine, some particular cases, conditions under fragmentation asymmetrical can lead equilibrium greater or smaller than capacities. Finally, for three-patch show numerically existence at least three critical values equals