LOCAL STABILITY AND OPTIMAL CONTROL STRATEGY FOR A SARS-CoV-2 EPIDEMIC
Keywords:
optimal value, epidemic model, loss of immunity, homogeneous environmentDOI:
https://doi.org/10.17654/0972111825003Abstract
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 \mathcal{R}_0 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.
Received: September 4, 2024
Revised: November 21, 2024
Accepted: November 26, 2024
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