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Journal Articles Discrete & Continuous Dynamical Systems - A Year : 2019

PREDATOR-PREY MODELS WITH COMPETITION, PART III: CLASSIFICATION OF STATIONARY SOLUTIONS

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Abstract

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.
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hal-03884852 , version 1 (05-12-2022)

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Henri Berestycki, Alessandro Zilio. PREDATOR-PREY MODELS WITH COMPETITION, PART III: CLASSIFICATION OF STATIONARY SOLUTIONS. Discrete & Continuous Dynamical Systems - A, 2019, 39 (12), pp.7141-7162. ⟨10.3934/dcds.2019299⟩. ⟨hal-03884852⟩
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