Boundedness and Stability Properties of Solutions of Mathematical Model of Measles.

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Babatunde Sunday Ogundare
James Akingbade


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.

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Ogundare, B. S., & Akingbade, J. (2021). Boundedness and Stability Properties of Solutions of Mathematical Model of Measles. Tamkang Journal of Mathematics, 52(1), 91–112.


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