Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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MODELLING AFRICAN TRYPANOSOMIASIS IN HUMAN WITH OPTIMAL CONTROL AND COST-EFFECTIVENESS ANALYSIS

  • GERVAS, HAMENYIMANA EMANUEL (Department of Mathematics and Statistics, University of Dodoma) ;
  • HUGO, ALFRED K. (Department of Mathematics and Statistics, University of Dodoma)
  • Received : 2020.06.14
  • Accepted : 2021.08.24
  • Published : 2021.09.30
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Abstract

Human African Trypanosomiasis (HAT) also known as sleeping sickness, is a neglected tropical vector borne disease caused by trypanosome protozoa transmitted by bites of infected tsetse fly. The basic reproduction number, R0 derived using the next generation matrix method which shows that the disease persists in the population if the value of R0 > 1. The numerical simulations of optimal control model carried out to determine the control strategy that can combat HAT under the minimum cost. The results indicate that, the use of both education campaign, treatment and insecticides are more efficient and effective to eliminate HAT in African community but too costly. Furthermore, the cost-effectiveness of the control measures (education campaign, treatment and insecticides) were determined using incremental cost-effectiveness ratio (ICER) approach and the results show that, the use of education and treatment of infected people as the best cost effective strategy compared to other strategies.

Keywords

Acknowledgement

The authors would like thank the University of Dodoma for great support during the entire time of this work.

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