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Influence of Human Behavior on COVID-19 Dynamics Based on a Reaction-Diffusion Model.

Shun Zhi1,2, Hong-Tao Niu2, You-Hui Su2

  • 1School of Science, Shenyang University of Technology, Shenyang, 110870 Liaoning China.

Qualitative Theory of Dynamical Systems
|June 12, 2023
PubMed
Summary

Human behavior significantly impacts COVID-19 spread. Modifying contact rates can lower infection levels and reduce the number of exposed and infected individuals, according to a new reaction-diffusion model.

Keywords:
Basic reproduction numberCOVID-19Human behavior changeReaction–diffusion model

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Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Public Health

Background:

  • The COVID-19 pandemic highlighted the critical role of human behavior in disease transmission dynamics.
  • Understanding how behavioral changes influence epidemic spread is crucial for effective control strategies.

Purpose of the Study:

  • To develop and analyze a mathematical model that quantifies the influence of human behavior on COVID-19 transmission.
  • To establish the relationship between behavioral parameters and the epidemiological dynamics of the disease.

Main Methods:

  • A reaction-diffusion model was formulated, incorporating contact rate functions dependent on human behavior.
  • The basic reproduction number () was derived to analyze disease dynamics.
  • Global stability analysis was performed for the disease-free and endemic equilibria.

Main Results:

  • A threshold condition based on the basic reproduction number () was established, determining disease persistence.
  • If , the disease-free equilibrium is globally asymptotically stable.
  • If , a positive stationary solution exists, indicating uniform disease persistence.

Conclusions:

  • Human behavior, when modeled through contact rates, directly influences COVID-19's spread and persistence.
  • Numerical simulations support the analytic findings, demonstrating that behavioral modifications can effectively reduce infection levels.
  • The study underscores the importance of public health interventions that modify human behavior to control infectious diseases like COVID-19.