Data Science Desktop Survival Guide by Graham Williams
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Enhanced Plots: Draw Branches as Dotted Lines

prp(model, type=2, extra=106, nn=TRUE, fallen.leaves=TRUE,
    branch.lty=3)

The branch.lty= option allows us to specify the type of line to draw for the branches. A dotted line is attractive as it reduces the dominance of the branches whilst retaining the node connections. Other options are just the standard values for line type in R:

plot(c(0,1), c(0,0), type="l", axes=FALSE, xlab=NA, ylab=NA, lty=2)
plot(c(0,1), c(0,0), type="l", axes=FALSE, xlab=NA, ylab=NA, lty="dashed")
plot(c(0,1), c(0,0), type="l", axes=FALSE, xlab=NA, ylab=NA, lty="44")