期刊文献+

具有媒体影响的登革热病毒传播动力学分析

Dynamic Analysis of Dengue Fever Virus Transmission with Media Influence
下载PDF
导出
摘要 建立并分析了一类受到媒体影响的登革热传染病模型,由基本再生数分析讨论了平衡点的存在性与局部稳定性,利用中心流行定理证明了该模型在基本再生数等于1时总会出现前向分支。 A type of dengue fever infectious disease model influenced by media was established and analyzed. The existence and local stability of equilibrium points were discussed through basic reproduction number analysis. The central popular theorem was used to prove that the model always exhibits forward branches when the basic reproduction number is equal to 1.
作者 杜璇 张睿
出处 《理论数学》 2024年第4期366-374,共9页 Pure Mathematics
  • 相关文献

参考文献3

二级参考文献19

  • 1Liu Y, Cui J. The impact of media convergence on the dynamics of infectious diseases[J]. Interna- tional Journal of Biomathematics, 2008(1): 65-74.
  • 2Cui J, Tao X, Zhu H. An SIS infection model incorporating media convergence [J]. The Rocky Mountain Journal of Mathematics, 2008(38): 1323-1334.
  • 3Cui J, Sun Y, Zhu H. The impact of media on the spreading and control of infectious disease[J]. Journal of Dynamics and Differential Equations, 2008(20): 31-53.
  • 4Misra A K, Sharma A , Shukla J B . Modeling and analysis of effects of awareness programs by media on the spread of infectious diseases[J]. Mathematical and Computer Modeling, 2011(53): 1221-1228.
  • 5Funk S, Gilad E, Jansen V A A. Endemic disease, awareness, and local behavioural response[J]. Journal of Theoretical Biology, 2010(264): 501-509.
  • 6Funk S, Gilad E, Watkins C, Jansen V A A. The spread of awareness and its impact on epidemic outbreaks[J]. PNAS, 2009(106): 6872-6877.
  • 7Freedman H I, So J W H. Global stability and persistence of simple food chains[J]. Mathematical Biosciences, 1985(76): 69-86.
  • 8Freedman H I, Rao V S H. The trade-off between mutual interference and time lags in predator-prey systems[J]. Bulletin of Mathematical Biology,1983(45): 991-1004.
  • 9Gopalsamy K. Stability and oscillations in delay differential equations of population dynamics[J]. Mathematics and its Applications, Kluwer Academic Publication, Dordrecht, 1992(74).
  • 10ABDELRAZEC A,BELAIR J,SH AN Chunhua, et al. Modeling the spread and control of dengue with limitedpublic health resources [J]. Math Biosci,2016,271(1) : 136-145.

共引文献13

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