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An improved Quantum Molecular Dynamics model is proposed. By using thismodel, the properties of ground state of nuclei from $^{6}$Li to $^{208}$Pb canbe described very well with one set of parameters. The fusion reactions for$^{40}$Ca+$^{90}$Zr, $^{40}$Ca+$^{96}$Zr and $^{48}$Ca+$^{90}$Zr at energy nearbarrier are studied by this model. The experimental data of the fusion crosssections for $^{40}$Ca+$^{90,96}$Zr at the energy near barrier can bereproduced remarkably well without introducing any new parameters. Themechanism for the enhancement of fusion probability for fusion reactions withneutron-rich projectile or target is analyzed.Comment: 20 pages, 12 figures, 3 table

Improved quantum molecular dynamics model and its applications to fusion reaction near barrier