Variable/Parameter |
Description |
Sh (t) |
Number of susceptible humans |
Eh (t) |
Number of exposed or latently infected humans |
Ih (t) |
Number of infectious humans |
Vh (t) |
Number of vigilant short-term human travelers |
Sm (t) |
Number of susceptible mosquitoes |
Em (t) |
Number of exposed mosquitoes |
Im (t) |
Number of infectious mosquitoes |
u1 (t) |
Personal protection using insecticide-treated bed nets (ITNs) or mosquito-repellent lotion |
u2 (t) |
Chemo-prophylactic measure or liver-stage therapy for latently infected humans |
u3 (t) |
Chemotherapy or treatment of infectious humans |
u4 (t) |
Mosquito-reduction effort using indoor residual spray (IRS) |
Λh
|
Recruitment rate of humans |
τ |
Fraction of recruitment rate of humans who are short-term travelers |
Λm
|
Recruitment rate of mosquitoes |
b |
Mosquito biting rate |
βh
|
Transmission probability per contact of susceptible humans with infectious mosquitoes |
βm
|
Transmission probability per contact of susceptible mosquitoes with infectious humans |
µh
|
Natural per capita death rate of humans |
µm
|
Natural per capita death rate of mosquitoes |
αh
|
Per capita progression rate of exposed humans |
αm
|
Per capita progression rate of exposed mosquitoes |
γ |
Recovery rate constant of control |
r |
Rate constant of control |