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Updated: Nov 5, 2025
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Building a Better Mosquito: Identifying the Genes Enabling Malaria and Dengue Fever Resistance in A. gambiae and A. aegypti Mosquitoes
Published on: July 4, 2007
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Optimal control problem and backward bifurcation on malaria transmission with vector bias
Dipo Aldila1, Michellyn Angelina1
1Department of Mathematics, Universitas Indonesia, Depok 16424, Indonesia.
Heliyon
|May 13, 2021
Summary
This study uses a mathematical model to explore malaria transmission dynamics. Findings show that targeted fumigation and medical treatments can effectively control malaria spread with minimal cost.
Area of Science:
- Mathematical modeling
- Epidemiology
- Control theory
Background:
- Malaria remains a significant global health challenge.
- Understanding transmission dynamics is crucial for effective control strategies.
Purpose of the Study:
- To investigate malaria spread using a mathematical model incorporating vector bias and saturated treatment.
- To analyze the impact of control strategies like fumigation and medical treatment.
Main Methods:
- Mathematical analysis of equilibrium points and basic reproduction number.
- Application of center-manifold theory for stability analysis.
- Optimal control theory using Pontryagin's maximum principle.
Main Results:
- Backward bifurcation observed with increased saturated treatment or vector bias.
- Uncontrolled fumigation can increase the likelihood of backward bifurcation.
- Fumigation and vector bias are key parameters influencing malaria transmission.
Conclusions:
- Time-dependent fumigation and medical treatment are effective in suppressing malaria spread.
- Optimal control strategies can achieve efficient malaria control at reduced costs.
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