The lectures presented by Josef Hofbauer gave a solid mathematical foundation for explaining various phenomena that may occur in ecological models. In his first lectures aspects of monotone flows and their role in competition and cooperation models were discussed. Ecological applications that were addressed dealt with mutualism and species dispersal between a number of patches. Other important topics of his lectures were persistence and permanence of ecological systems. Also heteroclinic cycles and their attracting or repelling behaviour were covered by mathematical means. This series of lectures ended with a treatise on low-dimensional Lotka-Volterra models.