Generic predation in age structure predator-prey models

In this paper we use analytical tools based in the Painlevé analysis and bifurcation theory to offer stable predator-prey models with age structure. Such models account for within-species and the approach is based at the level of individual organisms. We analyze the type of theoretical predation that a system requires to have real solutions where only poles as singularities are allowed and also to have periodic solutions. The main feature sought is the coexistence of the interacting populations.