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海南师范大学学报（自然科学版） 해남사범대학학보（자연과학판）
JOURNAL OF HAINAN NORMAL UNIVERSITY(NATURAL SCIENCE)
2014年 4期 382-385 ,共4页

张林丽%肖莉%刘安平張林麗%肖莉%劉安平

장림려%초리%류안평

时滞%收获率%重合度%时间尺度%周期解時滯%收穫率%重閤度%時間呎度%週期解
시체%수획솔%중합도%시간척도%주기해
time-varying delays%harvesting%coincidence degree%time scales%periodic solution

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。
연구일류기우비솔차구유수획화시체적량충군포식자—식이주기계통，이용중합도이론중적연탁정리건립료저류계통재시간척도상정주기해존재적일개충분성판거，추엄료이지적상관결론。
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.