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Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases

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  • C. Udriste
  • I. Tevy
  • A. S. Rasheed
  • Mondher Farza

Abstract

We study in this paper the trends of the evolution of different infections using a SIR flow (first-order ODE system), completed by a differential inclusion, a geodesic motion in a gyroscopic field of forces, and a stochastic SIR perturbation of the flow (Itô ODE system). We are interested in mathematical analysis, bringing new results on studied evolutionary models: infection flow together with a differential inclusion, bounds of evolution, dual description of disease evolution, log-optimal and rapid path, epidemic wind (geometric dynamics), stochastic equations of evolution, and stochastic connectivity. We hope that the paper will be a guideline for strategizing optimal sociopolitical countermeasures to mitigate infectious diseases.

Suggested Citation

  • C. Udriste & I. Tevy & A. S. Rasheed & Mondher Farza, 2021. "Flow, Wind, and Stochastic Connectivity Modeling Infectious Diseases," Complexity, Hindawi, vol. 2021, pages 1-14, June.
    • Handle: RePEc:hin:complx:6395410
    DOI: 10.1155/2021/6395410
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