  The existence of Schwarzchild black holes in the structure of Swiss-cheese
brane-world led to the argument that this specific brane-world scenario is more
realistic than the FLRW branes. In this paper, we show that a Logamediate
inflation on the Swiss-cheese brane leads to a positive kinetic term and a
negative potential with AdS minimum. While cosmic pressure is always positive,
the energy density starts to get negative after a finite time and there is a
time interval where both $\rho$ and $p$ are positive. Although this can be
considered as a drawback of Swiss-cheese brane as positive energy dominates the
present universe, it has been suggested that the presence of some source of
negative energy could have played a significant role in early cosmic expansion.
The model also suffers from the eternal inflation problem. Due to the existence
of $\rho^2$ term, we have tested the new nonlinear energy conditions. The
cosmographic and slow-roll parameters have been investigated.
