Boundedness and Stability Properties of Solutions of Mathematical Model of Measles

In this paper, asymptotic stability and global asymptotic stability of solutions to a deterministic and compartmental mathematical model of measles infection is considered using the ideas of the Jacobian determinant as well as the second method of Lyapunov, criteria/conditions that guaranteed asymptotic stability of disease free equilibrium and endemic equilibrium were established. Also the basic reproductive number R-0 was obtained. The results in this work compliments existing work and provided further information in controlling the disease in an open population.