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 studied. 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.
出处
《海南师范大学学报(自然科学版)》
CAS
2014年第4期382-385,共4页
Journal of Hainan Normal University(Natural Science)
基金
973项目(2011CB710604)
海南省自然科学基金项目(112006
112007)
海南省教育厅高等学校科学研究项目(Hjkj2013-47)
关键词
时滞
收获率
重合度
时间尺度
周期解
time-varying delays
harvesting
coincidence degree
time scales
periodic solution