ABSTRACT

Again, since this expression is only valid for (t, x) lying on the characteristic curves, we obtain

u(t, x) = R(T (x0; t, x)) g(T (x0; t, x), x0)

×

Equations (9.17) and (9.19) define the complete analytical solution to the Sinko-Streifer model. In summary, this solution consists of two parts:

1. The first part in which the solution is given by (9.17) describes the part of the population whose members are survivors of the initial population density u(0, x) = Φ(x). This is called the initial condition driven solution.