  Using a numerical approach we examine the dynamics of $zz$ correlations for
the spin-$1\over2$ isotropic XY chain with random Lorentzian intersite coupling
and transverse field at sites that depends linearly on the neighbouring
couplings. We study in detail the wave vector- and frequency-dependent $zz$
structure factor at different values of Hamiltonian parameters and temperature.
We discuss the changes in the frequency profiles of the $zz$ dynamic structure
factor caused by the introduced correlated disorder.
