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Updated: May 15, 2026
15:25
Protocol for Dengue Infections in Mosquitoes (A. aegypti) and Infection Phenotype Determination
Published on: July 4, 2007
An optimal control problem arising from a dengue disease transmission model
Dipo Aldila1, Thomas Götz, Edy Soewono
1Department of Mathematics, Institut Teknologi Bandung, Bandung 40132, Indonesia.
Mathematical Biosciences
|January 1, 2013
Summary
This study optimizes Dengue fever control by managing treatment and dropout rates in adults and children. The goal is to reduce infections and treatment costs, offering strategies for epidemic prevention and outbreak reduction.
Area of Science:
- Mathematical epidemiology
- Optimal control theory
- Disease modeling
Background:
- Dengue fever poses a significant public health challenge, necessitating effective control strategies.
- Mathematical models are crucial for understanding disease dynamics and evaluating interventions.
- Host-vector models, incorporating human and mosquito populations, provide a framework for studying Dengue transmission.
Purpose of the Study:
- To formulate and solve an optimal control problem for a host-vector Dengue transmission model.
- To identify optimal strategies for treatment and dropout rates to minimize disease spread and associated costs.
- To investigate epidemic prevention and outbreak reduction strategies using mathematical modeling.
Main Methods:
- Development of a compartmental host-vector Dengue transmission model with 11 dynamic equations.
- Calculation of the basic reproductive ratio (R0) using the next-generation matrix eigenvalue.
- Formulation of an optimal control problem with four control parameters: treatment and dropout rates for adults and children.
- Definition of a cost functional incorporating infected individuals, treatment costs, and dropout rate reduction costs.
Main Results:
- Numerical simulations demonstrate the effectiveness of the optimal control strategies.
- Identification of optimal treatment and dropout rates for different epidemic scenarios.
- Analysis of the impact of control parameters on Dengue transmission dynamics.
Conclusions:
- Optimal control strategies can significantly mitigate Dengue transmission and reduce the burden of the disease.
- Balancing treatment and dropout rates is crucial for effective epidemic prevention and outbreak reduction.
- Mathematical modeling provides valuable insights for public health interventions against Dengue fever.
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