期刊文献+

一类分数阶SIQS传染病模型的稳定性分析 被引量:2

Analysis of Stability for a Fractional Order SIQS Model
下载PDF
导出
摘要 讨论了一类分数阶SIQS传染病模型,通过定性分析方法研究了该系统解的非负性和有界性,利用分数阶系统稳定性理论给出了该系统的平衡点及其局部稳定性,并数值模拟出其解的图形. A class of fractional order SIQS model was considered. Through qualitative analysis,the non-negativity and boundedness of all solutions were studied,the equilibrium point and locally stability of the system were given by applying the stability theor^^ of fractional order system. Finally,numerical simulations were provided to give the solution of the graph.
出处 《信阳师范学院学报(自然科学版)》 CAS 北大核心 2018年第1期1-4,共4页 Journal of Xinyang Normal University(Natural Science Edition)
基金 国家自然科学基金项目(11371306 11701495) 信阳师范学院"南湖学者奖励计划"青年项目
关键词 分数阶 SIQS模型 稳定性 fractional order SIQS model stability
  • 相关文献

参考文献2

二级参考文献14

  • 1孟新柱,陈兰荪,宋治涛.一类新的含有垂直传染与脉冲免疫的时滞SEIR传染病模型的全局动力学行为[J].应用数学和力学,2007,28(9):1123-1134. 被引量:28
  • 2Agur Z,Cojocaru L,Mazor G,et al.Pulse mass measles vaccination across age cohorts[J].Proceedings of the National Academy of Sciences of the United States of America,1993,90(24):11698-11702.
  • 3Shulgin B,Stone L,Agur Z.Pulse vaccination strategy in the SIR epidemic model[J].Bulletin of Mathematical Biology,1998,60(6):1123-1148.
  • 4Tang S Y,Xiao Y N,Clancy D.New modeling approach concerning integrated disease control and cost-selectivity[J].Nonlinear analysis,TMA,2005,63:439-471.
  • 5Li J,Zhou Y C,Ma Z E,et al.Epidemicological models for mutating pathogens[J].SIAM Journal on Applied Mathematics,2004,1:1-23.
  • 6Castillo C C,Huang W,Li J.Competitive exclusion and coexistence of multiple strains in a SIS/SID model[J].SIAM J Math,1999,59:1790-1811.
  • 7Feng Z,Iannelli M,Milner F.A two strain tuberculosis model with age of infection[J].SIAM Journal on Applied Mathematics,2002,62:1643-1656.
  • 8D'onofrio A.Vaccination policies and nonlinear force of infection:generalization of an observation by Alexander and Moghadas(2004)[J].Applied Mathematics and Computation,2005,168(1):613-622.
  • 9Van den Driessche P,Watmough J.A simple SIS epidemic model with a backward bifurcation[J].Journal of Mathematical Biology,2000,40:525-540.
  • 10Liu X Z,Stechlinski P.SIS models with switching and pulse control[J].Applied Mathematics and Computation,2014,232:727-742.

共引文献4

同被引文献10

引证文献2

二级引证文献3

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