Human African Trypanosomiasis (HAT) or Sleeping sickness and Nagana in cattle, which is generally known as the sleeping sickness is a deadly disease that affects 36 sub-Saharan Africa countries, threatening life of millions of people in rural settlements. In the absence of treatment, the outcome is always fatal.
The tsetse fly which is responsible for transmitting the disease has very unusual life cycle.
In this talk, we present a deterministic model of the transmission of Trypanosomiasis between human hosts and vectors in a natural environment. The model takes into account the unusual life cycle of the tsetse fly, since its larval stage to the adult stage with the different states of the fly relative to the infection. The host population is modelled by a SIR compartmental model. Analyse of the coupled model and measures of control/eradication will be discussed.