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July 30, 2026Mathematical Methods in the Applied Sciences

Mathematical Analysis on the SIS Reaction‐Diffusion Model With Logistic Source and Mass Action Incidence

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Authors

LYLu YuSGShasha GaoXLXue‐Zhi Li

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Overview

Mathematical analysis investigates disease dynamics in SIS model, suggesting strategies for disease control.

Key Points

  • The aim is to analyze the dynamics of the SIS epidemic model using mathematical techniques.
  • Analyzed stability of trivial and disease-free equilibria
  • Demonstrated global attractivity using Lyapunov functions
  • Characterized asymptotic behaviors in varying diffusion rates
  • Established uniform boundedness of solutions
  • Identified existence of endemic equilibrium based on uniform persistence theory
  • Showed that limiting movement of infected individuals can reduce disease prevalence

Cite This Study

Yu et al. (2026) studied this question.

synapsesocial.com/papers/6a6af51160e2b924d3ea0beahttps://doi.org/10.1002/mma.70918
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