中文摘要：

利用线性时变连续系统的稳定性理论及双向耦合方法研究了生物学中三种群食物链模型的同步化问题，获得2个食物链系统间的全局渐进同步。基于比较定理证明了三种群食物链系统及其耦合系统的有界性，采用2种不同的数值算法进行了数值仿真，其结果与理论计算一致，并就仿真结果阐明了生物学意义。

英文摘要：

The synchronization problem of the three species food chain in biology was studied in the paper. The global asymptotic synchronization was attained based on the theory of time-varying systems and bi-directionally linear coupled between two food chain systems. The boundedness of the three species food chain and its coupler system were proved based on the comparison theorem. Two different numerical algorithms were adopted to verify the results of theoretical calculation and explain the biological significance.