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中文摘要：
研究了一类具有比率型功能反应的食物链时标动力学系统,利用重合度理论中的延拓定理讨论了此系统周期解的存在性问题,得到了保证周期解存在的充分条件,从而使这一类系统的连续与离散情形：微分方程和差分方程的周期解存在性问题得到了统一研究.
英文摘要：
In this paper, the existence of periodic solutions of ratio-dependent functional response food chain system on time scales was explored. By using the continuation theorem of coincidence degree, a set of sufficient conditions ensuring the existence of periodic solutions of the system were obtained. Therefore, the methods are unified to explore the existence of periodic solutions for the continuous differential equations and discrete difference equations.
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