Skip to main content

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]

Ï„ m : Latent period of mosquito

[5-15 days]

Ï„ h : Latent period of human

[10-100 day]