A dynamic model and cost-effectiveness on screening coverage and treatment of syphilis included MSM population in the United States

Syphilis is a major sexually transmitted disease, causing a significant public health burden for countries all over the world. Since 2000, there has been a new outbreak of the syphilis epidemic in the United States. Therefore, the prevention and control of syphilis have important research significance. We have established a sex structure and ordinary differential equation model that includes men who have sex with men (MSM). Its epidemiological and biological parameters were obtained by fitting with regional monitoring data from the Centers for Disease Control and Prevention from 1984 to 2014, and the basic reproduction number ( ${\mathcal{R}_{0}}$ ) of syphilis is 1.3876. Through cost-effectiveness analysis, we have found that the most cost-effective strategies in the cases of sufficient and insufficient funds are conducting syphilis screening for 50% of sexually active susceptible individuals and conducting syphilis screening for 30% of sexually active susceptible individuals while increasing the treatment rate, respectively. Therefore, in the prevention and control strategies of syphilis, measures such as increasing the coverage rate of syphilis screening for susceptible individuals and simultaneously increasing both the screening coverage rate and the treatment rate are valuable control strategy measures for reference.