北华大学学报：自然科学版
北華大學學報：自然科學版
북화대학학보：자연과학판
Journal of Beihua University(Natural Science)
2012年
3期
249-254
,共6页
食物链系统%Smith增长%Holling功能性反应%多周期解%重合度
食物鏈繫統%Smith增長%Holling功能性反應%多週期解%重閤度
식물련계통%Smith증장%Holling공능성반응%다주기해%중합도
food chain system%Smith growth%Holling functional response%multiple periodic solutions%coincidence degree
研究了一类食饵具有Smith增长和捕食者具有Holling功能性反应的三种群食物链系统多周期正解的存在性问题.运用分析技巧获得了两个有界开集,由重合度理论中的延拓定理得到至少存在两个周期正解的充分条件,推广改进了已知的相关结果.
研究瞭一類食餌具有Smith增長和捕食者具有Holling功能性反應的三種群食物鏈繫統多週期正解的存在性問題.運用分析技巧穫得瞭兩箇有界開集,由重閤度理論中的延拓定理得到至少存在兩箇週期正解的充分條件,推廣改進瞭已知的相關結果.
연구료일류식이구유Smith증장화포식자구유Holling공능성반응적삼충군식물련계통다주기정해적존재성문제.운용분석기교획득료량개유계개집,유중합도이론중적연탁정리득도지소존재량개주기정해적충분조건,추엄개진료이지적상관결과.
The existence of multiple positive periodic solutions for a predator-prey system with Holling functional response for predator and Smith growth for prey is studied. Two bounded open sets are obtained by using analytic technique. By means of the continuation theorem based on coincidence degree theory, a set of sufficient conditions for this system to have at least two positive periodic solutions is obtained. Some known results are improved.
