具Holling Ⅱ类功能反应及捕获的三种群L-V系统多周期解的存在性  

Existence of Multiple Positive Periodic Solutions for Three-Species L-V System with Holling Ⅱ Type Functional Response and Harvesting Terms

作　　者：姜玉秋[1] 魏凤英[2] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000 [2]福州大学数学与计算机科学学院,福州350108

出　　处：《吉林大学学报（理学版）》2011年第2期195-202,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10726062);福建省自然科学基金(批准号:2010J01005);福州大学科技发展计划项目(批准号:2010-XQ-24)

摘　　要：运用比较定理及重合度理论,研究一类具有HollingⅡ类功能反应及捕获的三种群L-V系统多个周期解的存在性.结果表明,在适当的条件下,该系统至少存在8个不同的正周期解.并通过具体实例证明了所得结论的有效性.The existence of multiple positive periodic solutions for three-species L-V system with harvesting terms and Holling Ⅱ type functional response was studied via coincidence degree theory and comparison theorem,at least eight positive periodic solutions for L-V system were obtained.A concrete example was given to illustrate the effectiveness of our results.

关 键 词：正周期解 L-V系统 重合度 HOLLING Ⅱ类功能反应 捕获 

分 类 号：O175.12[理学—数学]