Event | Definition | Rate |
---|---|---|
Worm acquisition by host i, aged a | \( {\mathrm{N}}_{\mathrm{i}}\to {\mathrm{N}}_{\mathrm{i}}+1 \) \( {\mathrm{n}}_{\mathrm{i}}\to {\mathrm{n}}_{\mathrm{i}}+\mathrm{B}\mathrm{e}\mathrm{r}(0.5) \) | \( \upbeta \left({\mathrm{a}}_i\right){\uplambda}_{\mathrm{i}}\mathrm{L} \) per host per unit of time |
Worm death in host i | \( {\mathrm{N}}_{\mathrm{i}}\to {\mathrm{N}}_{\mathrm{i}}-1 \) \( {\mathrm{n}}_{\mathrm{i}}\to {\mathrm{n}}_{\mathrm{i}}-\mathrm{B}\mathrm{e}\mathrm{r}(0.5) \) | \( \upsigma \) per worm per unit of time |
Host birth/death for host aged a | At death, host is replaced with a newborn; \( {\mathrm{N}}_{\mathrm{i}}={\mathrm{n}}_{\mathrm{i}}=0 \) and all host variables reset. | \( \upmu \left({\mathrm{a}}_{\mathrm{i}}\right) \) per unit of time |
Treatment of host i, aged a | \( {\mathrm{N}}_{\mathrm{i}}={\mathrm{N}}_{\mathrm{i}}*\left(1-\left[\mathrm{drug}\;\mathrm{eff}.\right]\right) \) | \( \updelta \left(\mathrm{t}-{\mathrm{t}}_{\mathrm{j}}\right)\mathrm{g}\left({\mathrm{a}}_{\mathrm{i}}\right) \) |