PIMS/AMI Seminar: Fernando Pestana da Costa

Abstract: 

A recent paper of Budác et al. on the selfsimilar behaviour of solutions to a model of coagulation with maximum size led us to consider a nonautonomous Lotka-Volterra predator-prey system in which the vector field of the predator equation converges to zero as t --> ∞. The solutions of this system show a behaviour distinctly different from those of either autonomous or periodic analogs. A partial numerical and analytical study of these systems is initiated. An ecological interpretation of this type of systems is proposed.  A generalization containing self-inhibitory terms is proposed and a conjecture about the limit points of solutions is made based on numerical experiments.  

Co-authors: Joao Teixeira Pinto (IST, Lisbon) and Alfredo Cano (UNED, Madrid)