2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/196456To lowest order of perturbation theory we show that an equivalence can be established between a $\cal PT$-symmetric generalized quartic anharmonic oscillator model and a Hermitian position-dependent mass Hamiltonian $h$. An important feature of $h$ is that it reveals a domain of couplings where the quartic potential could be attractive, vanishing or repulsive. We also determine the associated physical quantities.8 pages, no figure, to appear in special issue of Czech. J. PhysQuantum PhysicsHigh Energy Physics - TheoryMathematical Physicstext