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带有双噪声的随机SI传染病模型的稳定性与分岔

赵金庆 刘茂省 马扬军 王弯弯

赵金庆, 刘茂省, 马扬军, 王弯弯. 带有双噪声的随机SI传染病模型的稳定性与分岔[J]. 应用数学和力学, 2013, 34(12): 1300-1310. doi: 10.3879/j.issn.1000-0887.2013.12.009
引用本文: 赵金庆, 刘茂省, 马扬军, 王弯弯. 带有双噪声的随机SI传染病模型的稳定性与分岔[J]. 应用数学和力学, 2013, 34(12): 1300-1310. doi: 10.3879/j.issn.1000-0887.2013.12.009
ZHAO Jin-qing, LIU Mao-xing, MA Yang-jun, WANG Wan-wan. Stochastic Stability and Bifurcation of an SI Epidemic Model With Double Noises[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1300-1310. doi: 10.3879/j.issn.1000-0887.2013.12.009
Citation: ZHAO Jin-qing, LIU Mao-xing, MA Yang-jun, WANG Wan-wan. Stochastic Stability and Bifurcation of an SI Epidemic Model With Double Noises[J]. Applied Mathematics and Mechanics, 2013, 34(12): 1300-1310. doi: 10.3879/j.issn.1000-0887.2013.12.009

带有双噪声的随机SI传染病模型的稳定性与分岔

doi: 10.3879/j.issn.1000-0887.2013.12.009
基金项目: 国家自然科学基金资助项目(10901145);山西省自然科学基金资助项目(20120110021);山西省高等学校优秀青年学术带头人资助项目
详细信息
    作者简介:

    赵金庆(1988—),男,山东淄博人,硕士生(E-mail: qing630086824@126.com);刘茂省(1978—),男,山东济宁人,副教授,博士(通讯作者. E-mail: liumxsx@gmail.com).

  • 中图分类号: O29;O175.13

Stochastic Stability and Bifurcation of an SI Epidemic Model With Double Noises

Funds: The National Natural Science Foundation of China(10901145)
  • 摘要: 建立一个带有双噪声的随机SI传染病模型,运用随机平均法及非线性动力学理论对模型进行化简.通过Lyapunov指数和奇异边界理论,得到模型的局部随机稳定性和全局随机稳定性的条件.根据不变测度的Lyapunov指数和平稳概率密度,分析模型的随机分岔.结果表明,系统在随机因素作用下变得更敏感、更不稳定.
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出版历程
  • 收稿日期:  2013-05-27
  • 修回日期:  2013-08-28
  • 刊出日期:  2013-12-16

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