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Minimizing Societal Cost of Epidemics: Optimal Catastrophe Insurance Compensation Allocation
Wentao Hu1, Ze Chen1, Yufeng Shi2
1School of Finance, Renmin University of China, Beijing, China.
Summary
This study optimizes catastrophe insurance payouts to fund quarantine efforts, reducing infectious disease spread. Prioritizing high-risk groups and efficient quarantine minimizes outbreaks and societal costs.
Area of Science:
- Epidemiology
- Public Health
- Insurance Mathematics
Background:
- Infectious disease outbreaks pose significant public health and economic risks.
- Catastrophe insurance can mitigate financial losses but requires effective allocation strategies for epidemic control.
Purpose of the Study:
- To develop an optimal strategy for allocating catastrophe insurance compensation to contain infectious disease outbreaks.
- To link real-time epidemic dynamics (basic reproduction number) with insurance fund allocation.
Main Methods:
- Extension of the classic SIR (Susceptible-Infected-Recovered) model to incorporate insurance payouts for quarantine.
- Derivation and analysis of the basic reproduction number (R0) and epidemic equilibria.
- Development of a closed-form expression for optimal compensation allocation strategy (α*) to minimize real-time R0.
Main Results:
- Optimal compensation allocation prioritizes subpopulations with high transmission potential, high prevalence, or cost-effective quarantine.
- Enhanced quarantine efficiency through compensation significantly improves epidemic control.
- The optimal strategy effectively reduces real-time R0, thereby limiting outbreak damage and associated economic costs.
Conclusions:
- Insurance compensation can be a powerful tool for infectious disease containment when strategically allocated.
- This framework provides actionable insights for policymakers on optimizing insurance payouts for public health emergencies.
- The study advances the integration of epidemic modeling and catastrophe insurance for comprehensive risk management.
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