Abstract

For a single species, we considered that the habitat of its population, during certain interval of time, is being fragmented by the emergence of an interior border, which divide it in two disjoint patches. Assuming logistic laws for times before and after the fragmentation interval, we connect past with future to study the abundance on the fragments while they appear. The above is got it by the postulating and analyzing of a natural differential system that rules the abundances of the transition.