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. 2020 Jun 17;16(6):e1007945. doi: 10.1371/journal.pcbi.1007945

Table 1. Model parameters.

Parameter Description Value
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]