  In this paper, the effect of a positive cosmological constant on spherically
symmetric collapse with perfect fluid has been investigated. The matching
conditions between static exterior and non-static interior spacetimes are given
in the presence of a cosmological constant. We also study the apparent horizons
and their physical significance. It is concluded that the cosmological constant
slows down the collapse of matter and hence limit the size of the black hole.
This analysis gives the generalization of the dust case to the perfect fluid.
We recover the results of the dust case for $p=0$.
