Implements the XH component using a continuous-time version of the Garki model of malaria infection dynamics Dietz K, Molineaux L, Thomas A (1974). “A malaria model tested in the African savannah.” Bull World Health Organ, 50(3-4), 347–357. . The model tracks multiple stages of infection and immunity, originally designed to capture the dynamics of P. falciparum malaria in the Garki district of Nigeria.
Htotal human (or host) population density
x1density of susceptible non-immune humans
x2density of newly infected humans
y1density of individuals with patent infections (stage 1)
y2density of individuals with patent infections (stage 2)
y3density of individuals with patent infections (stage 3, semi-immune)
x3density of non-immune individuals who cleared infection
x4density of semi-immune susceptibles
r1, r2recovery rates for the two classes of infected individuals
alpha1, alpha2progression rates between patent infection stages
nurate of progression from newly infected to patent infection
btransmission probability from mosquito to human
ctransmission probability from human to mosquito
Dietz K, Molineaux L, Thomas A (1974). “A malaria model tested in the African savannah.” Bull World Health Organ, 50(3-4), 347–357.