具有脉冲效应的多种群竞争-捕食系统的正周期解的存在性 |
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引用本文: | 樊晓明,;王志刚,;庞淑萍. 具有脉冲效应的多种群竞争-捕食系统的正周期解的存在性[J]. 生物数学学报, 2009, 0(3): 439-454 |
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作者姓名: | 樊晓明, 王志刚, 庞淑萍 |
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作者单位: | [1]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150500; [2]哈尔滨金融高等专科学校基础部,黑龙江哈尔滨150030 |
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基金项目: | 国家自然科学基金(No.10471020);教育部新世纪优秀人才资助项目(NCET05-0319);黑龙江省教育厅科技研究项目(11531458) |
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摘 要: | 本文研究一类具Beddington-DeAngeli类功能性反应和脉,中的多种群竞争一捕食系统,运用Gaines和Mawhin’s的重合度理论给出系统存在正周期解的一个充分条件.
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关 键 词: | 正周期解 重合度 Beddington—DeAngelis |
Existence of Positive Periodic Solution for Nonautonomous Mutispecies Ecological Competition-predator System with hnpulsive Effect |
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Affiliation: | FAN Xiao-ming WANG Zhi-gang PANG Shu-ping (1 School of Mathematics Science, Harbin Normal University, Harbin Heilongjiang 150500 China;2 Foundation Department of IIarbin Financial College, Harbin Heilongjiang 150030 China; ) |
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Abstract: | In this paper, we consider a nonantonomous mutispecies ecological competitionpredator system with impulsive effect and Beddington-DeAngelis fuctional responses .A sufficient condition is established for existence of positive periodic solution of the system by using the theory of coincidence degree. |
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Keywords: | Positive periodic solution Coincidence degree Existence Beddington-DeAngelis |
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