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Researchers should cite this work as follows:

• Tessa, O. M. (2023). 2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination. SIMIODE, QUBES Educational Resources. doi:10.25334/624G-E549

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Tessa, Ousmane Mousa. 2006. Mathematical model for control of measles by vaccination. Proceedings Mali Symposium on Applied Sciences (MSAS) 2006, At Mali.  

See https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.536.3840&rep=rep1&type=pdf . Accessed 27 March 2023.

Abstract: Protecting children from vaccine-preventable diseases, such as measles, is among primary goals of health administrators worldwide. Since vaccination turned out to be the most effective strategy against childhood diseases, developing a framework that would predict an optimal vaccine coverage level needed to control the spread of these diseases is crucial. In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework. We rely on a compartmental model expressed by a set of differential equations based on the dynamics of measles infection. In order to apply vaccination strategies, theoretical results show that adding a second opportunity strategy to the routine immunization program enhances herd immunity with lower vaccination coverage.

Consideration is given to determining the stability of the disease-free state and optimal vaccination strategies.

Keywords: measles, compartmental mathematical model, herd immunity, second opportunity, vaccination, optimal strategy