Predator-prey models with competition, Part III: Classification of stationary solutions

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.

Cited by in corpus (1)

• Predator-prey models with competition, Part II: uniform regularity estimates