“…Indeed, the number of Leishmania parasites at the initial stages of the sand fly infection is usually very low (e.g., between 1–500), while sand flies with mature infection frequently harbor tens of thousands of parasites [14] , [15] , [16] . Once the infection in the vector gut has been established through this density-independent process, the progression (that may be density-dependent due to intraspecific competition) to mature transmissible infection, is thought to be almost definite [14] , [15] , [16] . Thus, the probability that the j parasites in equation (1) will infect the vector, s ( j ), is given by:
…”