  We consider a cell population subject to a parasite infection. Cells divide
at a constant rate and, at division, share the parasites they contain between
their two daughter cells. The sharing may be asymmetrical, and its law may
depend on the quantity of parasites in the mother. Cells die at a rate which
may depend on the quantity of parasites they carry, and are also killed when
this quantity explodes. We study the survival of the cell population as well as
the mean quantity of parasites in the cells, and focus on the role of the
parasites partitioning kernel at division.
