Media campaigns, early diagnosis, isolation and treatment on bacterial meningitis outbreak prevention: A modeling...

Area of Science:

• Epidemiology
• Mathematical Biology
• Public Health

Background:

• Bacterial meningitis is a severe, life-threatening infection affecting the brain and spinal cord.
• Rapidly worsening symptoms necessitate effective community control strategies.

Purpose of the Study:

• To develop and analyze an autonomous deterministic epidemic model for bacterial meningitis.
• To evaluate the impact of control strategies, including media coverage, early diagnosis, isolation, and treatment, on disease dynamics.

Main Methods:

• Developed an SIRS epidemic model incorporating asymptomatic and symptomatic individuals.
• Calculated effective reproduction numbers ($R_{ef}$) and basic reproduction number ($R_0$).
• Applied stability analysis (Routh-Hurwitz, Castillo-Chavez, Lyapunov) and sensitivity analysis.
• Investigated optimal control strategies using Pontryagin's maximum principle.

Main Results:

• The model quantifies the influence of media coverage on transmission probability.
• Stability analysis determined conditions for disease-free and endemic equilibria.
• Sensitivity analysis identified key parameters affecting disease spread dynamics.
• Optimal control strategies were explored to minimize infection.

Conclusions:

• The developed epidemic model provides insights into bacterial meningitis transmission and control.
• Mathematical modeling is crucial for understanding and managing infectious disease outbreaks.
• The study highlights the importance of integrated control strategies for effective public health interventions.