具有稀疏效应和HollingⅢ型捕食者——食饵系统的周期解  

Positive Periodic Solution for HollingⅢFunctional Response with Sparsing Effect

作　　者：刘振杰[1] 范鹰[1] 于景伟[1] 

机构地区：[1]哈尔滨学院数学与计算机学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2007年第2期63-65,共3页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科学技术研究项目(11513043).

摘　　要：利用Mawhin重合度理论研究了稀疏效应下具有HollingⅢ型捕食者——食饵系统的正周期解的存在性问题,得到了该生物系统正周期解存在的一个充分条件并推广了相关文献的某些已知结果．By using the continuation theorem based on coincidence degree theory, the existence of positive periodic solution for a periodic predator-prey system with sparsing effect and Holling Ⅲ type functional response is studied in this paper. A set of sufficient conditions is derived about it, which improves some known results.

关 键 词：稀疏效应 HollingⅢ型功能性反应 正周期解 重合度 

分 类 号：O175.12[理学—数学]