The fusion dynamics of \(^{6}\hbox {Li}\) and \(^{7}\hbox {Li}\) projectiles incident on the \(^{13}\hbox {C}\) and \(^{12}\hbox {C}\) targets, respectively, near the Coulomb barrier, were investigated theoretically using the antisymmetrized molecular dynamics (AMD) model. Within the AMD framework, the ground-state configurations of \(^{6}\hbox {Li}\) and \(^{7}\hbox {Li}\) exhibit pronounced deformation characterized by well-developed d+ \(\alpha\) and t+ \(\alpha\) clustering structures, respectively. Reaction simulations were performed across a center-of-mass energy range of \({3}-{7.6}\,{\hbox {MeV}}\) , encompassing the fusion barrier region. The total fusion cross sections computed as a function of collision energy demonstrate favorable quantitative agreement with the experimental values at energies above the Coulomb barrier. Additionally, a detailed comparison was made of the partial cross sections into specific residual fragments predicted by AMD at different center-of-mass energies. The AMD model provides a robust microscopic description of light-heavy-ion fusion dynamics and captures the role of extended density distributions and cluster correlations within interacting nuclei.
