Additional file 2: of Developing a mathematical model for the evaluation of the potential impact of a partially efficacious vaccine on the transmission dynamics of Schistosoma mansoni in human communities

Analytical solutions of the host population dynamics. Analytical solutions of the parasite population dynamics. Derivation of equations of the transmission functions. Density dependence and mating probability functions. Derivation of the effective reproductive number, R e . Derivation of R e formula in terms of R 0 and R 0 v $$ {R}_0^v $$ . (DOCX 29 kb)