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Table 4 Basic malaria models - (a) Ross Model, (b) Macdonald Model, and (c) Anderson-May Model, with corresponding basic reproductive number (R0) and parameter descriptions

From: Mathematical models of malaria - a review

Models R 0 Parameters and their values
[12, 36, 40, 44, 56]
(a) Ross model [36]

a : Man biting rate
[0.01-0.5 day-1]
b : Proportion of bites that
produce infection in human
[0.2-0.5]
(b) Macdonald model [40]


c : Proportion of bites by
which one susceptible
mosquito becomes infected
[0.5]
m : Ratio of number of female
mosquitoes to that of
humans [0.5-40]
r : Average recovery rate of
human [0.005-0.05 day-1]
(c) Anderson and May model [12]



μ 1 : Per capita rate of human
mortality [0.017 year-1]
μ 2 : Per capita rate of mosquito
mortality [0.05-0.5 day-1]
τ m : Latent period of mosquito
[5-15 days]
τ h : Latent period of human
[10-100 day]