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Controlling malaria in a population accessing counterfeit antimalarial drugs
Baaba A Danquah1, Faraimunashe Chirove2, Jacek Banasiak3,4
1Department of Mathematics and Statistics, University of Energy and Natural Resources, P. O. Box 214, Sunyani, Ghana.
Mathematical Biosciences and Engineering : MBE
|July 28, 2023
Summary
This study models malaria transmission, finding that combining insecticide-treated bednets (ITNs), indoor residual spraying (IRS), and effective drugs offers the optimal strategy for malaria control and elimination. The model highlights benefits for infants but warns of counterfeit drugs impacting effectiveness.
Area of Science:
- Mathematical modeling of infectious diseases
- Epidemiology and public health
Background:
- Malaria transmission dynamics are complex, influenced by population structure and drug efficacy.
- The prevalence of counterfeit antimalarial drugs poses a significant challenge to disease control efforts.
Purpose of the Study:
- To develop a mathematical model for malaria transmission incorporating key control strategies.
- To identify optimal control strategies for malaria elimination in a population with infants and adults.
- To analyze the impact of counterfeit drugs on malaria control.
Main Methods:
- Development of a mathematical model for malaria transmission dynamics.
- Incorporation of three control mechanisms: effective drugs, insecticide-treated bednets (ITNs), and indoor residual spraying (IRS).
- Analysis of the basic reproduction number ($R_0$) and disease-free equilibrium.
Main Results:
- The basic reproduction number ($R_0$) decreases with increased implementation of all three control measures.
- A stable disease-free equilibrium is achieved when $R_0 < 1$.
- The model supports multi-control strategies, with combinations of ITNs, IRS, and effective drugs, or IRS and effective drugs, identified as optimal.
Conclusions:
- Optimal malaria control requires a multi-pronged approach, combining preventative measures (ITNs, IRS) with effective treatments.
- Control strategies show particular benefit for the infant population.
- The widespread use of counterfeit drugs and low recrudescence rates can undermine the effectiveness of optimal control strategies.
Keywords:
backward bifurcationcounterfeit drugsmalariaoptimal controlreproduction numbersstructured population
