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

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.