  The paper is devoted to the investigation of a reaction-diffusion system of
equations describing the process of blood coagulation. Existence of pulses
solutions, that is, positive stationary solutions with zero limit at infinity
is studied. It is shown that such solutions exist if and only if the speed of
the travelling wave described by the same system is positive. The proof is
based on the Leray-Schauder method using topological degree for elliptic
problems in unbounded domains and a priori estimates of solutions in some
appropriate weighted spaces.
