%0 Journal Article %T PREDATOR-PREY MODELS WITH COMPETITION, PART III: CLASSIFICATION OF STATIONARY SOLUTIONS %+ Centre d'Analyse et de Mathématique sociales (CAMS) %+ Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)) %A Berestycki, Henri %A Zilio, Alessandro %< avec comité de lecture %@ 1553-5231 %J Discrete & Continuous Dynamical Systems - A %V 39 %N 12 %P 7141-7162 %8 2019-01-09 %D 2019 %R 10.3934/dcds.2019299 %Z Mathematics [math]/Analysis of PDEs [math.AP]Journal articles %X For a stationary system representing prey and N groups of competing predators, we show classification results about the set of positive solutions. In particular, we show that if the number of components N is too large or if the competition between different groups is too small, then the system has only constant solutions, which we then completely characterize. %G English %2 https://cnrs.hal.science/hal-03884852/document %2 https://cnrs.hal.science/hal-03884852/file/1901.02820.pdf %L hal-03884852 %U https://cnrs.hal.science/hal-03884852 %~ CNRS %~ EHESS %~ INSMI %~ LJLL %~ TDS-MACS %~ SORBONNE-UNIVERSITE %~ SORBONNE-UNIV %~ SU-SCIENCES %~ UP-SCIENCES %~ SU-TI %~ ALLIANCE-SU