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Optimal Repellent Usage to Combat Dengue Fever
Chasity Dorsett1, Hyunju Oh1, Marie Laura Paulemond1
1Department of Mathematics and Computer Science, Bennett College, Greensboro, NC, 27401, USA.
Bulletin of Mathematical Biology
|May 5, 2016
Summary
Individual protection against dengue fever mosquitoes significantly impacts herd immunity. Even with voluntary protection, optimal levels approach herd immunity when protection costs are minimal compared to disease consequences.
Area of Science:
- Epidemiology
- Game Theory
- Public Health
Background:
- Dengue fever is a significant vector-borne disease transmitted by Aedes mosquitoes.
- Reducing exposure to mosquito bites is crucial for disease control.
- Individual protection choices influence population-level disease dynamics.
Purpose of the Study:
- To model individual decisions on protection against mosquito bites using game theory.
- To analyze the relationship between the cost of protection, disease risk, and optimal protection levels.
- To determine the conditions under which voluntary protection achieves herd immunity.
Main Methods:
- Development of a game-theoretical model.
- Analysis of individual cost-benefit calculations for protection.
- Simulation of protection levels under varying cost-benefit scenarios.
Main Results:
- Individual optimal protection levels are determined by balancing protection costs and dengue fever risks.
- Voluntary protection can approach herd immunity thresholds.
- Herd immunity is achievable when protection costs are approximately 10,000 times less than the cost of contracting dengue fever.
Conclusions:
- Individual rational choices regarding protection can lead to significant public health benefits.
- Game theory provides valuable insights into voluntary public health interventions.
- Economic factors heavily influence the effectiveness of individual protection strategies in achieving herd immunity for dengue fever.

