Measles is an infectious disease that results from a paramyxovirus. Known to be highly contagious, it can be transmitted through contact with an infected person. It is a viral respiratory infection that attacks the immune system of an infected person. In this research, a dual model for the elimination of measles with some control strategies was proposed. The first model was with quarantine, while the second model was developed and analyzed with first and second stages of measles vaccination. Sensitivity analysis as well as the numerical simulation of both models were carried out. The study determined the disease free equilibrium (DFE) point and the endemic equilibrium (EE) point from the system of the equations. Appropriate model reproduction numbers were computed and interpreted. Numerical simulations showed that two-stage vaccination fot the disease was able to inhibit the disease spread. Concerning the Reproduction number , it was confirmed that when , the disease will persist, and that when , this indicates a threshold between the extinction and the persistence of the disease. It was also established that effective treatment plan, red rash identification rate, effective cost factoring and active mechanism for case finding were parameters that positively impacted the burden of measles infection, and had the potentials to reduce the prevalence of this disease in a population, irrespective of the values assumed by other parameters contributing