We discuss the present status of our understanding of the transport and acc
eleration of anomalous cosmic rays and the transport of galactic and CIR-ac
celerated particles in the heliosphere. Currently, two- and three-dimension
al numerical codes can accurately model many of the observed phenomena - wi
th the major current uncertainties being the values of the parameters such
as the diffusion coefficients and the effects of the poorly understood stru
cture beyond the termination shock. We illustrate the nature of the phenome
na by discussing in detail the response of energetic particles to co-rotati
ng interaction regions, the acceleration of singly- and multiply-charged an
omalous cosmic rays, and the effects of galactic cosmic rays on the structu
re of the solar wind and its termination shock.