  The orbital evolution of a dust particle captured in a mean motion resonance
with a planet in circular orbit under the action of the Poynting-Robertson
effect, radial stellar wind and an interstellar gas flow of is investigated.
The secular time derivative of Tisserand parameter is analytically derived for
arbitrary orbit orientation. From the secular time derivative of Tisserand
parameter a general relation between the secular time derivatives of
eccentricity and inclination is obtained. In the planar case (the case when the
initial dust particle position vector, initial dust particle velocity vector
and interstellar gas velocity vector lie in the planet orbital plane) is
possible to calculate directly the secular time derivative of eccentricity.
  Using numerical integration of equation of motion we confirmed our analytical
results in the three-dimensional case and also in the planar case. Evolutions
of eccentricity of the dust particle captured in an exterior mean motion
resonance under the action of the Poynting-Robertson effect, radial stellar
wind for the cases with and without the interstellar gas flow are compared.
  Qualitative properties of the orbital evolution in the planar case are
determined. Two main groups of the secular orbital evolutions exist. In the
first group the eccentricity and argument of perihelion approach to some
values. In the second group the eccentricity oscillates and argument of
perihelion rapidly shifts.
