 This work investigates the dynamics of particles in a confined geometry with position-dependent diffusivity, using three functional forms for the diffusivity and considering external forces. The results show that the diffusivity-D underscore D will redistribute particles near the channel wall, while the diffusivity-D underscore M will trap them near the cell centre. The superposition of external forces breaks their static distributions. Additionally, a high dependence on the X coordinate for the diffusivity-D underscore D improves the mean velocity of the particles, while a weak dependence on the X coordinate for the diffusivity-D underscore M accelerates their moving speed. A large external force can weaken the influences of different diffusivities, and a small external force significantly affects the particle dynamics. The study discusses the effects of different stochastic calculi in evaluating the underlying multiplicative stochastic, equation for various physical scenarios. This article was authored by Yongge Li, Ruoxing Mai, Yongxu, and others. We are article.tv, links in the description below.