Bifurcations of a predator-prey model with non-monotonic response function

A 2-dimensional predator-prey model with five parameters is investigated, adapted from the Volterra-Lotka system by a non-monotonic response function. A description of the various domains of structural stability and their bifurcations is given. The bifurcation structure is reduced to four organising centres of codimension 3. Research is initiated on time-periodic perturbations by several examples of strange attractors. To cite this article: H. W. Broer et al., C R. Acad. Sci. Paris, Ser. 1341 (2005). (c) 2005 Academie des sciences. Published by Elsevier SAS. All rights reserved.