Existence and multiplicity of coexistence states in a heterogeneous predator-prey model with saturation

In this talk we analyze a predator-prey model coming from the heterogeneous counterparts of the classical Lotka-Volterra
and Holling-Tanner models by considering a non-negative saturation term that can vanish inside the domain. By the use of the maximum principle and bifurcation theory the regions of coexistence can be exactly determined. Furthermore, by varying the amplitude of the saturation different multiplicity results will be obtained. This is a joint work with Julián López-Gómez.