  A FRWL cosmological model with perfect fluid comprising of van der Waals gas
and dust has been studied in the context of dynamical analysis of a
three-component autonomous non-linear dynamical system for the particle number
density $n$, the Hubble parameter $H$, and the temperature $T$. Perfect fluid
isentropic particle creation at rate proportional to an integer power $\alpha$
of $H$ has been incorporated. The existence of a global first integral allows
the determination of the temperature evolution law and hence the reduction of
the dynamical system to a two-component one. Special attention is paid to the
cases of $\alpha = 2$ and $\alpha = 4$ and these are illustrated with numerical
examples. The global dynamics is comprehensively studied for different choices
of the values of the physical parameters of the model. Trajectories in the $(n,
H)$ phase space are identified for which temporary inflationary regime exists.
