A note on the transient stage of the random dispersal of logistic populations

The transient stage of the random dispersal of logistic populations is investigated, using a Sturm-Liouville series leading to an infinite system of non-linear integral equations. These equations are then solved via a successive approximation scheme. R. A. Fisher's (steady-state) velocity of advance paradox is discussed. An illustrative example is worked to the second order of approximation. Contribution No. 1020 of the Woods Hole Oceanographic Institution.