Mathematical Modelling of Human African Trypanosomiasis Using Control Measures

Table 1

The description of model variables and parameters.

Variable	Description
	Susceptible human population
	Susceptible tsetse fly population
and	Exposed human and tsetse fly population, respectively
and	Infectious human and tsetse population, respectively
	Recovered human population
Parameter	Description
	Recruitment rate for human population
	Recruitment rate for tsetse fly population
	Proportion of bites by the infectious vector on susceptible human population
	Proportion of bites by susceptible vector on an infectious human population
a	The biting rate of the tsetse flies
σ	Per capita rate of a vector becoming infectious
ε	Per capita rate of human becoming infectious
ω	Disease induced death rate
ρ	The rate at which the recovered human can become susceptible again
τ	Recovery rate
μ	Natural death rate
	Force of infection for human population
	Force of infection for tsetse flies