m |
Mosquitoes per human Nm/Nh (dimensionless) |
2435/625 [50] |
a |
Biting rate (day−1) |
0.21 [39] |
b |
Transmission probability from an infected mosquito to a susceptible human (dimensionless) |
0.5 [51] |
η |
Treatment coverage (dimensionless) |
0-1 |
σf
|
Proportion of symptomatic humans infected by P. falciparum (dimensionless) |
0.9 [52] |
σv
|
Proportion of symptomatic humans infected by P. vivax (dimensionless) |
0.33 [53] |
rf
|
Recovery rate of untreated infected-humans by P. falciparum (day−1) |
1/287 [50] |
rv
|
Recovery rate of untreated infected-humans by P. vivax (day−1) |
1/60 [54] |
γf
|
Progression rate from infected to post-treatment humans affected by P. falciparum (day−1) |
1/2 [50] |
γv
|
Progression rate from infected to post-treatment humans affected by P. vivax (day−1) |
1/9 [36, 55] |
φ |
Proportion of treated humans with primaquine (dimensionless) |
0-1 |
κ |
Protective period of the treatment (day) |
see Table 2
|
ϵf
|
Infectious period of post-treatment humans infected by P. falciparum (day) |
see Table 2
|
ϵv
|
Infectious period of post-treatment humans infected by P. vivax (day) |
see Table 2
|
α |
Resistance cost (dimensionless) |
0-0.6 [24] |
n |
Recurrences produced by the resistant strain (dimensionless) |
1 |
Λm
|
Mosquito birth rate (day−1) |
0.033 [50] |
μm
|
Mosquito death rate (day−1). We assumed constant population |
0.033 |
ca
|
Transmission probability from an asymptomatic human to susceptible mosquito (dimensionless) |
0.12 [56] |
cs
|
Transmission probability from an infected-symptomatic human to susceptible mosquito (dimensionless) |
0.4 [56] |
ν |
Probability of transmitting a resistant parasite from a post-treatment infected by a sensitive strain (dimensionless) |
see Table 2
|
ψ |
Hypnozoite relapse rate (day−1). We assumed tropical relapses |
1/60 [57] |
ρsr
|
Probability of developing sensitive infection by the contact between an infected mosquito by sensitive strain and a human with latent parasites of the resistant strain (dimensionless) |
0.5 |
ρrs
|
Probability of developing resistant infection by the contact between an infected mosquito by resistant strain and a human with latent parasites of the sensitive strain (dimensionless) |
0.5 |
ϕt
|
Probability of post-treatment human of remaining with latent parasites (dimensionless) |
0.21 [58] |
ϕu
|
Probability of an untreated-infected human of remaining with latent parasites (dimensionless) |
0.4-0.9 [59] |
μvl
|
Clearance rate of latent parasites (hypnozoites) day−1
|
1/425 [39] |