The eddy interaction model has been used extensively to model particle dispersion in complex turbulent hows. In the model, a particle undergoes a series of interactions with random-velocity eddies. Interaction times, which determine particle dispersion are influenced by the eddy velocity and eddy length and time scales. In general, these can all be random. Recent research has shown some of the shortcomings of the original model, and has suggested improvements be made to ensure that models account for the crossing trajectories, inertia and continuity effects. In this present paper, the performance of variants of the improved model in predicting dispersion of particles ina simple turbulent how one investigated. Each variant is given a different combination of eddy length:and time distributions. Numerical results are compared with previously published analytical results. It is demonstrated that the effects noted above are allowed for in each of the model combinations considered.