Generic predation in age structure predator–prey models

摘要

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.