Poincar\'e map construction for some classical two predators - one prey   systems
  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. 
A V Osipov and G S\"oderbacka
math.DS