This article assesses the effect of vaccination on the control of an infectious disease using a new mathematical model in which immunity is not acquired permanently. In this model, the number of elementary reproductions R₀ is a major indicator of the extinction or propagation of the infection in a population. In this document, the cost of control is also defined in order to propose an optimal value. Variable states are also simulated as a function of the evolution of the disease in relation to the strength of the infection.

optimal value, epidemic model, loss of immunity, homogeneous environment.

Received: September 4, 2024; Revised: November 21, 2024; Accepted: November 26, 2024; Published: December 28, 2024

How to cite this article: Georges KOLOGO, Cédric K. SOME and Somdouda SAWADOGO, Local stability and optimal control strategy for a SARS-CoV-2 epidemic, Far East Journal of Dynamical Systems 38(1) (2025), 47-71. https://doi.org/10.17654/0972111825003

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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