  In this paper we continue the stability analysis of the model for coinfection
with density dependent susceptible population introduced in the 1st part of the
paper. We look for coexistence equilibrium points, their stability and
dependence on the carrying capacity $K$. Two sets of parameter value are
determined, each giving rise to different scenarios for the equilibrium branch
parametrized by $K$. In both scenarios the branch includes coexistence points
implying that both coinfection and single infection of both diseases can exist
together in a stable state. There are no simple explicit expression for these
equilibrium points and we will require a more delicate analysis of these points
with a new bifurcation technique adapted to such epidemic related problems. The
first scenario is described by the branch of stable equilibrium points which
includes a section of coexistence points starting at a bifurcation equilibrium
point with zero second single infections and finishing at another bifurcation
point with zero first single infections. In the second scenario the branch also
includes a section of coexistence equilibrium points with the same type of
starting point but the branch stays inside the positive cone after this. The
coexistence equilibrium points are stable at the start of the section. It stays
stable as long as the product of $K$ and the rate $\bar \gamma$ of coinfection
resulting from two single infections is small but, after this it can reach a
Hopf bifurcation and periodic orbits will appear.
