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

Author

Listed:
  • Dehaj, Imane
  • Dehaj, Abdessamad
  • Aziz-Alaoui, M.A.
  • Rachik, Mostafa

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.

Suggested Citation

  • Dehaj, Imane & Dehaj, Abdessamad & Aziz-Alaoui, M.A. & Rachik, Mostafa, 2025. "A new concept of controllability for a class of nonlinear continuous SIR systems," Chaos, Solitons & Fractals, Elsevier, vol. 192(C).
    • Handle: RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077925000268
    DOI: 10.1016/j.chaos.2025.116013
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