We study three non conservative models of interacting particle systems which are generalizations of the contact process. The first one is a model for the sterile insect technique, for which we analyse the macroscopic effects of mixed slow boundary reservoirs, through the derivation of a hydrodynamic and hydrostatic limit. The second one is the (generalized) diffusive contact process, for which we derive the microscopic effect of reservoirs of particles, through the derivation of a new expression of the correlation functions of its invariant measure. Finally, we study a model for the inherited sterility method and establish a phase transition result on the survival and extinction of the process.