期刊文献+

相互竞争的两种群SIRS模型持续生存分析

Persistence analysis of an SIRS epidemic model of two competitive species
在线阅读 下载PDF
导出
摘要 建立了相互竞争的两种群中具有饱和传染率的SIRS传染病模型;研究了系统的持续性,得到疾病持续生存与消亡的充分条件。结论:在两种群共存的情况下,当种内传染强度较大时,疾病将持续生存;若对种内传染强度和种间交叉传染强度加以控制,疾病就会消亡。 An SIRS epidemic model of two competitive species with saturated infection rate is formulated.The persistence of the system is studied,and the sufficient conditions of the epidemic persistence or disappearance are obtained.It is concluded that under the co-existing condition of both species,the disease will persist when the inner-infection rate within the species is rather high;that the disease will disappear when the inner-infection and the inter-infection rates are controlled.
出处 《福建工程学院学报》 CAS 2011年第1期76-79,共4页 Journal of Fujian University of Technology
基金 福建省教育厅科技项目(JB08194)
关键词 饱和性传染率 SIRS传染病模型 持续生存分析 saturated infection rate SIRS epidemic model persistent existence analysis
  • 相关文献

参考文献6

二级参考文献38

  • 1朱婉珍.两共存种群中具非线性传染率的SIS模型的定性分析[J].江西教育学院学报,2004,25(3):4-7. 被引量:4
  • 2陈晓鹰,朱婉珍.具有HollingⅡ型功能性反应的捕食者食饵种群SIS模型定性分析[J].厦门大学学报(自然科学版),2005,44(1):16-19. 被引量:9
  • 3Dushoff J,Huang W, Castillo- Chavez C. Backwards bifurcations and catastrophe in simple models of fatal diseases[J]. J Math Biol,1998, (3).
  • 4H. R. Thieme. Convergence results and a Poincare - Bendixson trichomy for asymptotically autonomous differential equation[ J]. J Math Bio1. 1992, (30).
  • 5Keeling M J, Grenfell B T. Effect of variability in infection period on the persistence and spatial spread of infectious diseases[J]. Math Biosci, 1998, (147).
  • 6Hyman J M, Li J, Stanley E A. The differential infectivity and staged progression models for the transmission of HIV[J]. Math Biosci,1999, (155).
  • 7DUSHOFF J, HUANG W, CASTILLO CHAVEZ C. Backwards bifurcations and catastrophe in simple models of fatal diseases[J]. J Math Biol, 1998,36(3):227-248.
  • 8THIEME H R. Convergence results and a Poincare-Bendixson trichomy for asymptotically autonomous differential equation[J]. J Math Biol, 1992,30:755- 763.
  • 9[1]Dushoff J,Huang W, Castillo-Chavez C. Backwards bifurcations and catastrophe in simple models of fatal diseases[J]. J Math Biol,1998,36(3):227-248.
  • 10[2]Hyman J M, Li J, Stanley E A. The differential infectivity and staged progression models for the transmission of HIV[J]. Math Biosci,1999,155:77-109.

共引文献30

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