Code | Model |
---|---|
(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 |