Theory and Modern Applications

# Table 1 Numerical values of parameters

Parameter Description Numerical value Reference/comment
μ Mortality rate for humans, not including death directly due to malaria $$\frac{0.017}{365}$$ per day [2]
δ The rate of human deaths due to malaria $$\frac{0.042}{180}$$ per day [23, 25]
θ Mortality rate for (vector) mosquitos 0.04 per day [3, 5, 19]
A Total human birth rate 10,000μ Depends on the region. We assume a population of size 10,000 when disease-free.
B Total birth rate of vector mosquitos 240,000θ Depends on the region. We assume a population of size 0.03 million.
a The probability of a specific human getting bitten by a mosquito during a one-day period 6.417 × 10−6 Chosen (this also depends on the region)
b The probability that a bite by an infected mosquito will lead to a (new) human infection 0.075 [23, 25]
c The probability that a bite on an infected human will lead to a (new) mosquito infection 0.0375 cf. [23, 25]
k Transfer rate from I-class to R-class (recovery rate) $$\frac{1}{180}$$ per day [5, 9, 25]
h Transfer rate from R-class to S-class (rate of loss of temporary immunity) $$\frac{1}{2\times 365}$$ per day [5, 9, 25]