Let 710 denote the set of all sense-preserving harmonic mappings f = h + g in the unit disk D, normalized with h(0) = g(0) = g'(0) = 0 and h'(0) = 1. In this paper, we mainly investigate some properties of certain subclasses of 710, including inclusion relations and stability analysis by precise examples, coefficient bounds, growth, covering and distortion theorems. As applications, we build some Bohr inequalities for these subclasses by means of subordination. Among these subclasses, six classes consist of functions f = h +g E 710 such that h + eg is univalent (or convex) in D for each |e| = ...
