The exact numeric solution of Eqs. 1 and 5 for the probability Qe that the virus undergoes endocytosis is plotted as a function of κf ≡ rkfM/(2p1), the dimensionless fusion rate and compared to the M → ∞ asymptotic solution (thin solid curves). Two sets of curves, corresponding to λ ≡ q1/(2p1) = 0.1, 2 are shown for M = N = 10, 100, and 1000 (r = 1). In these plots, the endocytosis rate was taken to be ke/p1 = 2.