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Updated: Jan 31, 2026
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Bioluminescence Imaging to Detect Late Stage Infection of African Trypanosomiasis
Published on: May 18, 2016
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Mathematical Modelling of Human African Trypanosomiasis Using Control Measures
Hamenyimana Emanuel Gervas1,2,3, Nicholas Kwasi-Do Ohene Opoku1,4, Shamsuddeen Ibrahim1
1African Institute for Mathematical Sciences, Biriwa, Cape Coast, Ghana.
Computational and Mathematical Methods in Medicine
|January 1, 2019
Summary
Human African Trypanosomiasis (HAT), or sleeping sickness, is a vector-borne disease transmitted by tsetse flies. Mathematical modeling shows that control strategies like education, treatment, and insecticides are effective in eliminating HAT.
Area of Science:
- Epidemiology
- Mathematical Biology
- Tropical Medicine
Background:
- Human African Trypanosomiasis (HAT), or sleeping sickness, is a neglected tropical disease.
- It is transmitted by the bite of infected tsetse flies.
- Understanding HAT transmission dynamics is crucial for effective control.
Purpose of the Study:
- To develop and analyze a mathematical model for HAT transmission dynamics.
- To determine the basic reproduction number (R0) for HAT.
- To evaluate the effectiveness of control strategies using an optimal control model.
Main Methods:
- A vector-host model was developed with compartments for tsetse fly and human populations.
- The next-generation matrix approach was used to calculate the basic reproduction number (R0).
- Pontryagin's maximum principle was applied to an optimal control model incorporating education, treatment, and insecticides.
Main Results:
- The disease-free equilibrium is globally asymptotically stable when R0 ≤ 1, indicating disease elimination.
- Disease persistence is observed when R0 > 1.
- Model simulations demonstrated the high efficiency and effectiveness of combined control measures.
Conclusions:
- Mathematical modeling provides valuable insights into HAT transmission and control.
- Integrated control strategies, including education, treatment, and insecticides, are essential for HAT elimination in Africa.
- The study highlights the potential of mathematical approaches to inform public health interventions for neglected tropical diseases.
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