  We study the fermionic condensate (FC) and the vacuum expectation value (VEV)
of the energy-momentum tensor for a massive spinor field in the de Sitter (dS)
spacetime including an ideal cosmic string. In addition, spatial dimension
along the string is compactified to a circle of length $L$. The fermionic field
is assumed to obey quasi-periodic condition along the $z$-axis. There are also
magnetic fluxes running along the cosmic string and enclosed by the compact
dimension. Both, the FC and the VEV of the energy-momentum tensor, are
decomposed into two parts: one induced by the cosmic string in dS spacetime
considering the absence of the compactification, and another one induced by the
compactification. In particular, we show that the FC vanishes for a massless
fermionic field.
