Costa, Fernando Pestana daPinto, João Teixeira2011-10-282011-10-282010Costa, Fernando Pestana da; Pinto, João T. - A nonautonomous predator-prey system arising from coagulation theory. "International Journal of Biomathematics and Biostatistics" [Em linha]. ISSN 0973-7340. Vol. 1, nº 2 (July-Dec. 2010), p. 129-1400973-7340http://hdl.handle.net/10400.2/1911A recent investigation of Budác et al. on the selfsimilar behaviour of solutions to a model of coagulation with maximum size [Oxford Center for Nonlinear PdE, Report no. OxPDE-10/01, June 2010] led us to consider a related nonautonomous Lotka-Volterra predator-prey system in which the vector field of the predator equation converges to zero as t\rightarrow +\infty. The solutions of the system show a behaviour distinct 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.engCoagulation equationsSelf-similar behaviourPredator-prey equationsLotka-Volterra equationsNon-autonomous systemsjournal article