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Appraisal and Simulation on Codynamics of Pneumonia and Meningitis with Vaccination Intervention: From a Mathematical
Belela Samuel Kotola1,2, Dawit Melese Gebru3, Haileyesus Tessema Alemneh4
1Department of Mathematics, Debre Berhan University, Debre Berhan, Ethiopia.
Abstract:
The membranes that encompass the brain and spinal cord become inflamed by the potentially fatal infectious disease called pneumococcal meningitis. Pneumonia and meningitis "coinfection" refers to the presence of both conditions in a single host. In this work, we accounted for the dynamics of pneumonia and meningitis coinfection in communities by erroneously using a compartment model to analyze and suggest management techniques to stakeholders. We have used the next generation matrix approach and derived the effective reproduction numbers. When the reproduction number is less than one, the constructed model yields a locally asymptotically stable disease-free equilibrium point. Additionally, we conducted a sensitivity analysis to determine how different factors affected the incidence and transmission rate, which revealed that both the pneumonia and meningitis transmission rates are extremely sensitive. The performance of our numerical simulation demonstrates that the endemic equilibrium point of the pneumonia and meningitis coinfection model is locally asymptotically stable when max{ ℛ 1, ℛ 2} > 1. Finally, as preventative and control measures for the coinfection of pneumonia and meningitis illness, the stakeholders must concentrate on reducing the transmission rates, reducing vaccination wane rates, and boosting the portion of vaccination rates for both pneumonia and meningitis.
Insights
This study models pneumococcal meningitis and pneumonia coinfection dynamics. Reducing transmission rates and increasing vaccination are key to controlling this serious illness.
Area of Science:
- Epidemiology
- Mathematical Biology
- Infectious Disease Dynamics
Background:
- Pneumococcal meningitis is a life-threatening infection causing inflammation of brain and spinal cord membranes.
- Pneumonia and meningitis coinfection presents a significant public health challenge, requiring effective management strategies.
Purpose of the Study:
- To analyze the community dynamics of pneumonia and meningitis coinfection.
- To suggest evidence-based management techniques for stakeholders.
Main Methods:
- Utilized a mathematical compartment model to simulate coinfection dynamics.
- Employed the next-generation matrix approach to derive effective reproduction numbers.
- Conducted sensitivity analysis to identify key transmission factors.
Main Results:
- The model indicates a stable disease-free equilibrium when the reproduction number is below one.
- Sensitivity analysis revealed high sensitivity of transmission rates for both pneumonia and meningitis.
- The endemic equilibrium point is stable when the maximum reproduction number exceeds one.
Conclusions:
- Reducing transmission rates is crucial for controlling coinfection.
- Strategies should focus on decreasing vaccination waning and increasing vaccination coverage for both diseases.
- Stakeholders must prioritize these measures for effective prevention and control.
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