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A hierarchical intervention scheme based on epidemic severity in a community network
Runzi He1, Xiaofeng Luo2, Joshua Kiddy K Asamoah3
1Department of Mathematics, North University of China, Shanxi, Taiyuan, 030051, China.
Journal of Mathematical Biology
|July 15, 2023
Summary
Intercommunity connections significantly influence infectious disease spread. Understanding these links helps develop effective epidemic control strategies, crucial when targeted treatments are unavailable.
Area of Science:
- Epidemiology
- Mathematical Modeling
- Network Science
Background:
- Targeted medicines and vaccines for emerging infectious diseases are often lacking.
- Community isolation is a primary intervention strategy.
- The role of intercommunity connections in epidemic spread is not well understood.
Purpose of the Study:
- To quantitatively analyze the impact of intercommunity edges on infectious disease transmission.
- To develop a hierarchical intervention scheme based on epidemic severity.
Main Methods:
- Established a four-dimensional edge-based compartmental model with two communities.
- Derived the basic reproduction number and outbreak threshold.
- Applied the model to the SARS outbreak in Singapore and simulated on various network distributions.
Main Results:
- Classified epidemic spread into two cases based on within-community and intercommunity transmission rates.
- Demonstrated that intercommunity edges critically influence outbreaks in one case.
- Obtained explicit formulas for the basic reproduction number and outbreak threshold.
- Validated theoretical findings through numerical simulations and a real-world case study.
Conclusions:
- The study provides a novel framework for understanding and controlling epidemics based on intercommunity connectivity.
- The findings offer insights into designing effective public health interventions for emerging infectious diseases.
- The developed hierarchical intervention scheme can guide policy decisions during outbreaks.
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