A new concept of controllability for a class of nonlinear continuous SIR systems

Imane Dehaj, Abdessamad Dehaj, M.A. Aziz-Alaoui and Mostafa Rachik

Chaos, Solitons & Fractals, 2025, vol. 192, issue C

Abstract: Given that nonlinear models are the most suitable for the mathematical description of most epidemics, and in order to address the challenges posed by the non-linearity of such models, we propose a new approach that, under certain conditions, allows the number of infected individuals to be reduced below a threshold set by health authorities, within the shortest possible time frame. To demonstrate the effectiveness of the proposed approach, we provide three application examples.

Keywords: Nonlinear systems; Epidemiology; SIR model; Control theory; Controllability (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077925000268

DOI: 10.1016/j.chaos.2025.116013

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