; Zhang, Shuang Nan] Tsinghua Univ, Dept Phys, Beijing 100084, Peoples R China
; [Wu, Puxun
; Zhang, Shuang Nan] Tsinghua Univ, Tsinghua Ctr Astrophys, Beijing 100084, Peoples R China
; [Wu, Puxun] Cent S Univ Forestry & Technol, Sch Sci, Changsha 410004, Hunan, Peoples R China
; [Wu, Puxun] Cent S Univ Forestry & Technol, Inst Math Phys, Changsha 410004, Hunan, Peoples R China
; [Zhang, Shuang Nan] Chinese Acad Sci, Inst High Energy Phys, Key Lab Particle Astrophys, Beijing 100049, Peoples R China
; [Zhang, Shuang Nan] Univ Alabama, Dept Phys, Huntsville, AL 35899 USA
The dynamics of the interacting dark energy model in loop quantum cosmology (LQC) is studied in this paper. The dark energy has a constant equation of state wx and interacts with dark matter through a form 3cH(rho(x) + rho(m)). We find that for the quintessence model (w(x) > -1) the cosmological evolution in LQC is the same as that in classical Einstein cosmology, whereas for phantom dark energy (w(x) < -1), although there are the same critical points in LQC and classical Einstein cosmology, the loop quantum effect significantly reduces the parameter spacetime (c, w(x)) required by stability. If parameters c and wx satisfy the conditions that the critical points are existing and stable, the universe will enter an era dominated by dark energy and dark matter with a constant energy ratio between them, and accelerate forever; otherwise it will enter an oscillatory regime. Comparing our results with the observations we find at 1 sigma confidence level that the universe will accelerate forever.