"Effect of Aggregation on Population Recovery Modeled by a Forward-Backward Pseudoparabolic Equation "

In this paper we study a Forward-Backward Pseudoparabolic Equation as a model of aggregating population. We will show that the aggregating mechanism induced by the negative difusivity allows the survival of an specie on danger of extinction. Numerical simulations suggest that the solutions stabilize asymptotically on time to a no necessarily homogeneous stationary solution. This is shown to be the case for a particular version of the model.