@article{articleac5013ed, title = {Effects of vaccination programmes on transmission rates of infections and related threshold conditions for control}, author = {Coutinho, Francisco Antônio Bezerra and Massad, Eduardo and Burattini, Marcelo Nascimento and Yang, H M and Azevedo Neto, Raymundo Soares de}, year = {1993}, doi = {10.1093/imammb/10.3.187}, journal = {Ima Journal of Mathematics Applied in Medicine and Biology} }