that individuals (i.e. new borns) enter the susceptible population instead of entering other classes
(exposed, infected, or recovered) [11]. We allow individuals to move from the susceptible human
population (Sh) to the exposed human population at a rate proportional to both the size of the
susceptible human population and the infected mosquito population and inversely proportional
to the total human population, aShIm/Nh. The inversely proportional term is used to make the
model parameters independent of Nh. This follows from the true-mass-action assumption, which
provides that Nh does not need to remain constant if there are a small number of cases of infection
compared to the total population [8]. Members of the exposed class (Eh) move to the infected
humans class at a rate proportional to the number of individuals in the exposed human population,
cEh. Individuals move from the infected human population (Ih) at a rate proportional to the size of
the infected human populations, dIh. Lastly, individuals move from the recovered human class (Rh)
to the susceptible human population at a rate proportional to the recovered human population size,
bRh. For the mosquito populations, mosquitoes move from the susceptible mosquito population
(Sm) to the exposed mosquito population at a rate proportional to both the size of the susceptible
mosquito population and the size of the infected human population and inversely proportional
to total mosquito population, fSmIh/Nm. This term also uses the true-mass-action assumption.
Finally, mosquitoes move from the exposed mosquito population (Em) at a rate proportional to
the number of individuals in the exposed mosquito population, gEm.