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一类具生物控制的多滞量捕食模型正周期解的存在性
引用本文:程荣福. 一类具生物控制的多滞量捕食模型正周期解的存在性[J]. 北华大学学报(自然科学版), 2010, 11(1): 1-6. DOI: 10.3969/j.issn.1009-4822.2010.01.001
作者姓名:程荣福
作者单位:北华大学,数学学院,吉林,吉林,132033
基金项目:吉林省教育厅"十一五"科学技术研究项目 
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.

关 键 词:捕食者-食饵模型  生物控制  周期解  多滞量

Existence of Positive Periodic Solution for a Predator-Prey Model with Bio-controls and Several Delays
CHENG Rong-fu. Existence of Positive Periodic Solution for a Predator-Prey Model with Bio-controls and Several Delays[J]. Journal of Beihua University(Natural Science), 2010, 11(1): 1-6. DOI: 10.3969/j.issn.1009-4822.2010.01.001
Authors:CHENG Rong-fu
Affiliation:CHENG Rong-fu(Mathematics College of Beihua University,Jilin 132033,China)
Abstract: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.
Keywords:predator-prey model  bio-controls  periodic solution  several delays  
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