Table 1 Interpretation of model (1.1) from Barbour (1996)[41]

(1.1)

$\left\{\begin{array}{l}\frac{\mathit{dP}}{\mathit{dt}}=\mathit{a\Delta y}\left(1-P\right)-\mathit{gP},\\ \frac{\mathit{dy}}{\mathit{dt}}=b\left(\frac{\Sigma }{\Delta }\right)P(1-y)-\mu y,\end{array}\right.$

The dynamics of schistosome transmission is represented by this set of coupled differential equations

Parameters

Interpretation

P

the prevalence of infection in the definitive host population

y

the proportion of infected snails

a

the rate of incidence for a single definitive host at unit density of infected snails

b

the rate at which an infected definitive host causes snail infections

g

the recovery rate for definitive host infections

∆

the density of snails

Σ

the density of definitive hosts

μ

per capita death rate of infected snails