  While there are many well-known and extensively tested results involving
diffusion-limited binary reactions, reactions involving subdiffusive reactant
species are far less understood. Subdiffusive motion is characterized by a mean
square displacement $<x^2> \sim t^\gamma$ with $0<\gamma<1$. Recently we
calculated the asymptotic survival probability $P(t)$ of a (sub)diffusive
particle ($\gamma^\prime$) surrounded by (sub)diffusive traps ($\gamma$) in one
dimension. These are among the few known results for reactions involving
species characterized by different anomalous exponents. Our results were
obtained by bounding, above and below, the exact survival probability by two
other probabilities that are asymptotically identical (except when
$\gamma^\prime=1$ and $0<\gamma<2/3$). Using this approach, we were not able to
estimate the time of validity of the asymptotic result, nor the way in which
the survival probability approaches this regime. Toward this goal, here we
present a detailed comparison of the asymptotic results with numerical
simulations. In some parameter ranges the asymptotic theory describes the
simulation results very well even for relatively short times. However, in other
regimes more time is required for the simulation results to approach asymptotic
behavior, and we arrive at situations where we are not able to reach asymptotia
within our computational means. This is regrettably the case for
$\gamma^\prime=1$ and $0<\gamma<2/3$, where we are therefore not able to prove
or disprove even conjectures about the asymptotic survival probability of the
particle.
