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author:

石志高 (石志高.) [1] | 吴承强 (吴承强.) [2]

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CQVIP PKU CSCD

Abstract:

研究一类食饵种群具有常数收获率的Holling-Ⅳ类功能性反应的捕食系统:dxdt=x(a-bx-cx2)-βx+yx2-hdydt=y-d+βμ+xx2在4βd2〈μ2≤469βd2,Φ(x2)〉0,x1^-<x1^=<x2^-<x2^=情形下系统极限环的存在情况,分析了该系统的平衡点性态,证明了系统在正平衡点的外围极限环的存在性.得到了在一定条件下,正平衡点外围至少存在2个极限环的结论.

Keyword:

Holling-Ⅳ型功能反应函数 Hopf分支 异宿轨 极限环

Community:

  • [ 1 ] 福州大学数学与计算机科学学院,福建福州350002

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Source :

福州大学学报:自然科学版

ISSN: 1000-2243

CN: 35-1337/N

Year: 2008

Issue: 3

Volume: 36

Page: 327-330

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count: -1

30 Days PV: 2

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