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In this paper, we study asymptotic behaviors of a subcritical branching killed Brownian motion with drift - and offspring distribution \pₖ: k 0\. Let ^- be the extinction time of this subcritical branching killed Brownian motion, Mₜ^- the maximal position of all the particles alive at time t and M^-: =ₓ ₀Mₜ^- the all time maximal position. Let Pₓ be the law of this subcritical branching killed Brownian motion when the initial particle is located at x (0, ). Under the assumption ₊=₁^ k (k) pₖ t) and Pₓ (M^->y) as t and y tend to respectively. We also establish the decay rate of Pₓ (Mₜ^->z (t, ) ) as t, where z (t, ) =tz- t for 0 and z (t, ) =z for >0. As a consequence, we obtain a Yaglom-type limit theorem.
Hou et al. (Mon,) studied this question.