English

Poincar\'e map construction for some classical two predators - one prey systems

Dynamical Systems 2016-04-28 v1

Abstract

In this paper we consider a family of system with 2 predators feeding on one prey. We show how to construct a positively invariant set in which it is possible to define a Poincar\'e map for examining the behaviour of the system, mainly in the case when both predators survive. We relate it to examples from earlier works.

Keywords

Cite

@article{arxiv.1604.07962,
  title  = {Poincar\'e map construction for some classical two predators - one prey systems},
  author = {A V Osipov and G Söderbacka},
  journal= {arXiv preprint arXiv:1604.07962},
  year   = {2016}
}
R2 v1 2026-06-22T13:42:03.046Z