  We consider a fluid described by a parameterized EoS of the general form
$P=(\gamma-1)\rho+p_{0}+\omega_{H}H+\omega_{H2}H^{2}+\omega_{dH}\dot{H}$
\cite{Ren}, where $p_{0}$, $\omega_{H}$, $\omega_{H2}$ and $\omega_{dH}$ are
free parameters of the model, interacting with a Tachyonic field with a
relativistic Lagrangian
$L_{TF}=-V(\phi)\sqrt{1-\partial_{i}\phi\partial^{i}\phi}$. The acceleration of
the Universe described by a scale factor $a(t)=t^{n}, (n>1)$. Under
consideration of different forms of interaction the field $\phi$ and the
potential $V(\phi)$ are recovered and graphical analysis performed. For
illustration purposes we fixed values of parameters of the models to provide $V
\rightarrow 0$ for later stages of evolution, when $t \rightarrow \infty$.
