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September 10, 2025Scientific ReportsOpen Access

Mathematical exploration of a diffusive infection’s dynamics and simulation

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Authors

RDRassim DarazirarAMA. MohsenAKAziz Khan

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Overview

This analysis explores the stability of disease equilibrium states, indicating effects on infection control measures.

Key Points

  • The study demonstrates that when the basic reproduction number is less than one, the disease-free equilibrium is globally asymptotically stable.
  • In contrast, when the basic reproduction number exceeds one, the endemic equilibrium becomes globally stable under specified conditions.
  • Employing lyapunov functionals extends the analysis from ordinary differential equations to complex partial differential equations.
  • Numerical simulations validate the theoretical findings and illustrate convergence behavior in infection models.

Cite This Study

Darazirar et al. (2025) studied this question.

synapsesocial.com/papers/68c1d23a54b1d3bfb60f7e2fhttps://doi.org/10.1038/s41598-025-09761-x
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