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 R₀ was obtained. The results in this work compliments existing work and provided further information in controlling the disease in an open population.
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Ogundare et al. (2021) studied this question.
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