  We extend Panella and Roy's [13] work on one-dimensional heterostructure for
massless Dirac particles with position-dependent (PD) velocity. We consider
Dirac particles where both the mass and velocity are position-dependent. Bound
states in the continuum (BIC)-like and discrete bound state solutions are
reported. It is observed that BIC-like solutions are not only feasible for the
ultra-relativistic (massless) Dirac particles but also for Dirac particles with
PD-mass and PD-velocity that satisfy the condition m(x)v(x)v(x)=A, where A is
constant. (1+1)-Dirac Poschl-Teller and harmonic oscillator models are also
reported.
