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author:

魏凤英 (魏凤英.) [1] | 蔡裕华 (蔡裕华.) [2] | 赵延辉 (赵延辉.) [3]

Abstract:

研究了一类具有非线性发病率的随机SIQS传染病模型,通过构造适当的Lyapunov函数并结合遍历论的相关结论,探讨该模型的解在其平衡点附近的动力学行为.研究结果表明:当R_0≤1时,随机模型的解会沿着无病平衡点(A/d,0,0)附近振动;当R_0>1时,该模型在地方病平衡点附近存在遍历的不变分布.

Keyword:

SIQS 遍历性 随机扰动 非线性发病率

Community:

  • [ 1 ] 福州大学数学与计算机科学学院

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Source :

生物数学学报

Year: 2016

Issue: 01

Volume: 31

Page: 109-117

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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