Optimal control of Chlamydia model with vaccination

In this work, a vaccination model for Chlamydia trachomatis with cost-effectiveness optimal control analysis is developed and analyzed. The disease free equilibrium of shown to be locally asymptotically stable when the reproduction number less than unity. disease-free was proven not globally stable. also undergo phenomenon backward bifurcation associated necessary conditions existence optimality system are established using Pontryagin’s Maximum Principle. Global Sensitivity carried out determine parameters which most affect dynamics disease, number, exposed, infectious treated populations used as response functions. that strongly drive class function natural death rate $$\mu $$ , treatment failure $$\varphi fraction people failed p. Simulations reveal strategy combines prevention cost-effective in fight against disease.