期刊文献+

一类随机细粒棘球蚴病传播动力学模型的研究

Analysis of a stochastic dynamical model for echinococcosis transmission
下载PDF
导出
摘要 研究了一类具有随机环境波动和时滞的细粒棘球蚴病传播动力学模型,证明了在感染再生数R0〉1和噪声强度阈值R0N〈1时,感染平衡点E^*是依概率稳定的.探讨了环境噪声和时滞对控制细粒棘球蚴病传播的影响. An echinococcosis transmission dynamical model with stochastic environmental fluctuation and two discrete time delays is investigated. When basic reproductive number R0〉 1 and the threshold of noise intensity R0 N〈 1, the stability of the infectious equilibrium point E* in probability is proved. Furthermore, the effect of white noise and delay on the control of echinococcosis transmission is discussed.
作者 赵瑜 杨诗杰
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 2014年第3期333-342,共10页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 宁夏自然科学基金(NZ13212) 宁夏师范学院校级创新团队(zy201210) 宁夏高等学校科学研究项目(NGY2013108) 中美新发和再发传染病合作项目(5U01GH000031-01)
关键词 棘球蚴病 LYAPUNOV函数 ITO公式 时滞 随机稳定性 hydatid disease Lyapunov function Ito's formula time delay stochastic stability
  • 相关文献

参考文献3

二级参考文献41

  • 1许隆祺,余森海,蒋则孝,徐淑惠,孟宁,朱育光,张守义,郭再宣,李宝山,陈锡骐,徐凤.首次全国人体寄生虫分布调查抽样设计和效果评价[J].中国寄生虫病防治杂志,1994,7(4):249-254. 被引量:20
  • 2Harris RE, Revfeim K J, Heath DD. Simulating strategies for control of Echinococcus granulosus , Taenia hydatigena and T. ovis [J]. J Hygiene, 1980, 84(3): 389-404.
  • 3Roberts MG, Lawson JR, Gemmell MA. Population dynamics in echinococcosis and cysticercosis: Mathematical model of the lifecycle of Echinococcus granulosus [J]. Parasitology, 1986, 92 <3): 621-641.
  • 4Roberts MG, Lawson JR, Gemmell MA. Population dynamics in echinococcosis and cysticercosis: mathematical model of the lifecycles of Taenia hydatigena and T. ovis [J]. Parasitology, 1987, 94(1): 181-197.
  • 5Torgerson PR. The use of mathematical models to simulate control options for echinococcosis [J]. Acta Trop, 2003, 85 (2): 211- 221.
  • 6Torgerson PR, Shaikenov BS, Rysmukhambetova AT, et al. Medelling the transmission dynamics of Echinococcus granulosus in dogs in rural Kazakhstan [J]. Parasitology, 2003, 126(5): 417-424.
  • 7Lahmar S, Kilani M, Torgerson PR. Frequency distribution of Echinococcus granulosus and other hehninthes in stray dogs in Tunisia [J]. Ann Trop Med Parasitol, 2001, 93(1): 69-76.
  • 8Ming R, Tolley HD, Andersen FL, et al. Frequency distribution of Echinococcus granulosus hydatid cysts in sheep populations in the Xinjiang Uygur Autonomous Region, China[J]. Vet Parasitol, 1992, 44(1-2): 67-75.
  • 9Ming R, Tolley HD, Andersen FL, et al. Frequency distribution of Echinococcus granulosus in dog populations in the Xinjiang Uygur Autonomous Region, China [J]. Vet Parasitol, 1992, 43 (3-4) : 233-241.
  • 10Anderson RM, May RM. Herd immunity to helminth infection and implications for parasite control [J]. Nature, 1985, 315 (6019) : 493-496.

共引文献667

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部