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Modeling and analyzing cholera transmission dynamics with vaccination age
Liming Cai1, Gaoxu Fan1, Chayu Yang2
1School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, PR China.
Journal of the Franklin Institute
|July 5, 2021
Summary
This study introduces a mathematical model for cholera transmission dynamics incorporating vaccination age. Findings show vaccination age significantly impacts disease persistence, offering insights for public health strategies.
Area of Science:
- Epidemiology
- Mathematical Modeling
- Public Health
Background:
- Cholera remains a significant public health concern, particularly in regions with limited access to clean water and sanitation.
- Vaccination is a key strategy for controlling cholera outbreaks, but its effectiveness can be influenced by various factors.
- Understanding the impact of vaccination age on disease transmission is crucial for optimizing control strategies.
Purpose of the Study:
- To develop and analyze a mathematical model investigating cholera transmission dynamics.
- To assess the specific impact of vaccination age on the persistence and spread of cholera.
- To determine the role of the basic reproduction number as a threshold for cholera persistence.
Main Methods:
- Formulation of a novel mathematical model for cholera transmission dynamics.
- Derivation and analysis of the basic reproduction number (R0).
- Rigorous analysis of local and global stability of system equilibria.
- Comparison with a simplified model excluding vaccination age effects.
- Validation of analytical findings through numerical simulations.
Main Results:
- The basic reproduction number (R0) was identified as a critical threshold for cholera persistence.
- Vaccination age significantly influences the transmission dynamics and persistence of cholera.
- The developed model provides a more nuanced understanding compared to simplified models.
- Analytical results were confirmed by numerical simulations.
Conclusions:
- Vaccination age is a critical factor in mathematical models of cholera transmission.
- The basic reproduction number serves as a reliable indicator for cholera outbreak control.
- The study highlights the importance of age-structured vaccination strategies for effective cholera management.
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