  In this paper, we introduce a density-sensitive bifiltration on Dowker
complexes. Previously, Dowker complexes were studied to address directional or
bivariate data whereas density-sensitive bifiltrations on \v{C}ech and
Vietoris--Rips complexes were suggested to make them more robust. We combine
these two lines of research, noting that the superlevels of the total weight
function of a Dowker complex can be identified as an instance of Sheehy's
multicover filtration. An application of the multicover nerve theorem then
provides a form of Dowker duality that is compatible with this filtration. As a
consequence, we find that the subdivision intrinsic \v{C}ech complex admits a
smaller model. Moreover, regarding the total weight function as a counting
measure, we generalize it to arbitrary measures and prove a density-sensitive
stability theorem for the case of probability measures. Additionally, we
provide an algorithm to calculate the appearances of simplices in our
bifiltration and present computational examples.
