Theory and Modern Applications
Table 1 Time-delay differential equation models
Version | HIV |
|---|---|
1: dnn | \(\frac{dx(t)}{dt}=-\delta x(t-\tau )+\varepsilon x(t)[1-x(t)]\) |
2: ndn | \(\frac{dx(t)}{dt}=-\delta x(t)+\varepsilon x(t-\tau )[1-x(t)]\) |
3: nnd | \(\frac{dx(t)}{dt}=-\delta x(t)+\varepsilon x(t)[1-x(t-\tau )]\) |
4: ddn | \(\frac{dx(t)}{dt} =-\delta x(t-\tau )+\varepsilon x(t-\tau )[1-x(t)]\) |
5: dnd | \(\frac{dx(t)}{dt}=-\delta x(t-\tau )+\varepsilon x(t)[1-x(t-\tau )]\) |
6: ndd | \(\frac{dx(t)}{dt}=-\delta x(t)+\varepsilon x(t-\tau )[1-x(t-\tau )]\) |
7: ddd | \(\frac{dx(t)}{dt}=-\delta x(t-\tau )+\varepsilon x(t-\tau )[1-x(t-\tau )]\) |
Version | ELM |
|---|---|
1: dnn | \(\frac{dx(t)}{dt} = -rx(t-\tau )+\beta x(t)[1-(x(t)/K)^{\gamma }] \) |
2: ndn | \(\frac{dx(t)}{dt}=-rx(t)+\beta x(t-\tau )[1-(x(t)/K)^{\gamma }]\) |
3: nnd | \(\frac{dx(t)}{dt} =-rx(t)+\beta x(t)[1-(x(t-\tau )/K)^{\gamma }]\) |
4: ddn | \(\frac{dx(t)}{dt} = -rx(t-\tau )+\beta x(t-\tau )[1-(x(t)/K)^{\gamma }] \) |
5: dnd | \(\frac{dx(t)}{dt}=-rx(t-\tau )+\beta x(t)[1-(x(t-\tau )/K)^{\gamma }]\) |
6: ndd | \(\frac{dx(t)}{dt}=-rx(t)+\beta x(t-\tau )[1-(x(t-\tau )/K)^{\gamma }] \) |
7: ddd | \(\frac{dx(t)}{dt} =-rx(t-\tau )+\beta x(t-\tau )[1-[x(t-\tau )/K)^{\gamma }] \) |