  This paper is concerned with the global boundedness and stability of
classical solutions to an alarm-taxis system describing the burglar alarm
hypothesis as an important mechanism of anti-predation behavior when species
are threaten by predators. Compared to the existing prey-taxis systems, the
alarm-taxis system has more complicated coupling structure and additionally
requires the gradient estimate of the primary predator density to attain the
global boundedness of solutions. By the sophisticated coupling energy estimates
based on the Neumann semigroup smoothing properties, we establish the existence
of globally bounded solutions in two dimensions with Neumann boundary
conditions and furthermore prove the global stability of co-existence
homogeneous steady states under certain conditions on the system parameters.
