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混合接种作用下具有非线性传染力的SISV模型

Nonlinear infection force SISV epidemic model under mixed vaccination
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摘要 研究了混合接种作用下具有非线性传染力和临时免疫的SISV传染病模型,分析该模型无病周期解的存在性,得出了无病周期解全局稳定性的充分条件。 A SISV epidemic model under mixed vaccination, with temporary immunity and nonlinear infection force is studied. The existence of infection-free periodic solution is proved and accordingly the sufficient conditions for the global stability of an infection-free periodic solution are obtained.
作者 李恒 魏巍
出处 《长春工业大学学报》 CAS 2007年第2期169-172,共4页 Journal of Changchun University of Technology
关键词 SISV传染病模型 接种 周期解 SISV epidemic model vaccination periodic solution.
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参考文献4

  • 1Alberto d'Onofrio.Pulse vaccination strategy in SIR epidemic model:global stability,vaccine failures and double vaccinations[J].Math.Comput.Modell.,2002,36(4-5):461-478.
  • 2Ruan S,Wang W.Dynamical behavior of an epidemic model with a nonlinear incidence rate[J].J.Differ.Equat.,2003,188:153-163.
  • 3Alexander M E,Moghadas S M.Periodicity in an epidemic model with a generalized nonlinear incidence[J].Math.Biosci.,2004,189:75-96.
  • 4Alberto dOnofrio.Vaccination policies and nonlinear force of infection:generalization of an observation by alexander and moghadas (2004)[J].Applied Mathematics and Computation,2005,168:613-622.

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