Density dependent diffusional model of an infective population

In this work, we present a density-dependent diffusional model which, coupled to three different types of growth, permitted us to study the infective potential of a bacteria species. The results show that those species with strong internal competency have the higher colonizing capacity in terms of invasion speed. Here, we also advanced a model for the static spatial inhomogeneous distribution that some species establish after migration. It is proposed that the origin of these patterns is the result of a balance between the dispersal tendency and the attractive behavior. The results obtained were compared with the observed behavior of Rhizobium spp. during infection of leguminous roots. A possible explanation of the observed morphologies of nodule development in different legumes is suggested.