  We use a standard minimal active Brownian model to investigate the
osmotic-like effective pressure generated by active fluids on fixed hollow
inclusions. These inclusions are enclosed by a permeable (albeit nonflexible)
membrane, and the interior and exterior regions of the inclusions have
different particle motility strengths. We consider both rectangular and
disklike inclusions and analyze the effects of various system parameters, such
as excluded volume interaction between active particles, hardness of membrane
and active particle density, on the effective pressure produced on the
enclosing membrane. We focus on the range of intermediate to high motility
strengths and analyze the effective pressure in the steady state. Our findings
for the active pressure produced in the interior and exterior regions of the
inclusion indicate that the pressure is higher in the region with lower
motility due to the relatively stronger accumulation of active particles.
