一类基于比率的且有收获率和时滞的捕食系统在时间尺度上的周期解

摘要

研究一类基于比率且具有收获和时滞的两种群捕食者—食饵周期系统，利用重合度理论中的延拓定理建立了这类系统在时间尺度上正周期解存在的一个充分性判据，推广了已知的相关结论。%A class of two-species ratio-dependent predator-prey system with harvesting and time-varying delays is stud⁃ied. By using the Prolongation theorem of coincidence degree theory, the existence result of positive periodic solution on time scales is established and a solid basis to prove the solution is obtained,which improves some known relevant results.