一类具生物控制的多滞量捕食模型正周期解的存在性  

Existence of Positive Periodic Solution for a Predator-Prey Model with Bio-controls and Several Delays

作　　者：程荣福[1] 

机构地区：[1]北华大学数学学院

出　　处：《北华大学学报（自然科学版）》2010年第1期1-6,共6页Journal of Beihua University（Natural Science）

基　　金：吉林省教育厅“十一五”科学技术研究项目(吉教合字2008-136)

摘　　要：利用重合度理论中的延拓定理讨论了具有生物控制的多滞量捕食模型的正周期解的存在性，得到了保证周期解存在的充分条件，推广了已知的相关结果．By using a continuation theorem based on coincidence degree, the global existence of positive periodic solution for a periodic predator-prey model with bio-controls and several delays are studied. A set of easily verifiable sufficient conditions are obtained ,which had improved and generalized some known results.

关 键 词：捕食者-食饵模型 生物控制 周期解 多滞量 

分 类 号：O175.14[理学—数学]