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Can time-dependent optimal interventions reduce Salmonella spread? A multi-pathway ODE model using real data from EU.

Zubair Ahmad1, Serena Crisci2, Bin Sun3

  • 1Division of Statistics, Department of Political Science, University of Naples Federico II, Naples, Italy; Department of Mathematics and Physics, University of Campania, "Luigi Vanvitelli", Caserta, 81100, Italy.

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|February 24, 2026
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Summary

Optimizing Salmonella control requires dynamic interventions. Coordinated strategies, especially early and constant ones, significantly reduce disease spread and are cost-effective for public health.

Keywords:
Computer simulationsDifferential equationsMathematical modelingOptimal controlSalmonella transmissionSensitivity analysis

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Area of Science:

  • Epidemiology
  • Mathematical Modeling
  • Public Health

Background:

  • Salmonella poses a significant global health threat due to complex transmission routes.
  • Effective control requires efficient resource allocation for disease management.

Purpose of the Study:

  • To develop and analyze optimal intervention strategies for reducing Salmonella transmission.
  • To identify cost-effective control measures using a mathematical model.

Main Methods:

  • A compartmental ordinary differential equation (ODE) model was developed and calibrated with EU/EEA Salmonella data (2007-2023).
  • Global sensitivity analysis identified key epidemiological parameters.
  • An optimal control framework was used to determine time-dependent strategies minimizing infection and costs.

Main Results:

  • Coordinated, dynamic interventions significantly reduced Salmonella incidence compared to no control.
  • Early and constant intervention strategies demonstrated the highest cost-effectiveness.
  • Environmental decontamination, food safety, vector control, treatment/isolation, and education were evaluated.

Conclusions:

  • Dynamic and coordinated Salmonella control strategies are crucial for effective disease management.
  • Early and sustained interventions offer the most cost-effective approach.
  • The study provides a data-driven framework for evidence-based Salmonella prevention and control.