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时标下具Hassell-Varley型功能性反应的捕食者-食饵系统的周期性(英文)
引用本文:曾志军. 时标下具Hassell-Varley型功能性反应的捕食者-食饵系统的周期性(英文)[J]. 生物数学学报, 2012, 0(1): 21-31
作者姓名:曾志军
作者单位:东北师范大学数学与统计学院,吉林长春130024
基金项目:Supported by NSFC(11101075,10971022); SRFDP(20090043120009); NCET (08-0755)
摘    要:利用重合度理论中的连续性定理研究了时标下具Hassell-Varley型功能性反应的捕食者-食饵系统的周期性,得到周期解存在的充分条件,所得结果推广了已有文献中的相关结论.

关 键 词:时标  Hassell-Varley型  连续性定理  周期解  功能性反应

Periodicity in A Predator-Prey System with Hassell-Varley Type Functional Response on Time Scales
ZENG Zhi-jun. Periodicity in A Predator-Prey System with Hassell-Varley Type Functional Response on Time Scales[J]. Journal of Biomathematics, 2012, 0(1): 21-31
Authors:ZENG Zhi-jun
Affiliation:ZENG Zhi-jun (School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024 China)
Abstract:In this paper, by using the continuation theorem of coincidence degree theory, sufficient conditions are obtained for the existence of positive periodic solution for non-autonomous predator-prey systems with Hassell-Varley type functional response. Our results substantially extend some known criteria.
Keywords:Time scales  Hassell-Varley type  Continuation theorem  Periodicsolution  Functional response
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