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Fermion-boson stars are solutions of the gravitationally coupledEinstein-Klein-Gordon-Hydrodynamic equations system. By means of methodsdeveloped in previous works, we perform a stability analysis of fermion-bosonstars that include a quartic self-interaction in their bosonic part.Additionally, we describe the complete structure of the stability andinstability regions of the space of free parameters, which we argue isqualitatively the same for any value of the quartic self-interaction. Therelationship between the total mass of mixed stars and their general stabilityis also discussed in terms of the structure identified within the stabilityregion.

Fermion-boson stars with a quartic self-interaction in the boson sector