期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

时滞对一类变系数SIR传染病模型的影响 被引量：1

The Impact of Time Delay on an SIR Epidemic Model with Variable Eoefficients
下载PDF
导出
摘要 考虑了一个时滞变系数SIR传染病模型,并获得了含有时滞的下界,且不同于其它文章的系统持久性条件,进一步给出疾病灭绝的充分条件.其目的是讨论变系数及时滞对系统持久与疾病根除的影响. We consider an SIR epidemic model with variable coeffcients and time delay,and obtain a low boundedness with delays and the condition which is different from some results of other papers for the permanence of system.Further,suffcient condition for the infective individuals to become extinct is given.The main purpose of this paper is to study the effect of time delay(incubation) and variable coefficients on permanence of population of the SIR model.
作者 谢于民
机构地区 山东省定陶县第一中学
出处 《鞍山师范学院学报》 2006年第6期4-7,共4页 Journal of Anshan Normal University
关键词 持久性 变系数 时滞 SIR传染病模型 Permanence Variable coeffcients Time delay SIR epidemic model
分类号 O175 [理学—基础数学]
  • 相关文献

参考文献7

  • 1[1]HETHCOTE,H W.Qualitative analyses of communicable disease models[J].Math Biosci,1976,(28):335-356.
  • 2[2]KOROBEINIKOV A,WAKE GC.Lyapunov Functions and Global Stability for SIR,SIRS,and SIS Epidemiological Models[J].Applied Mathematics Lettem,2002,(15):955-960.
  • 3[3]E Beretta,Y Takeuchi,Convergence results in SIR epidemic model with varying popu-lation sizes[J].Nonl Anal,1997,(28):1909-1921.
  • 4[4]Takeuchi Y,Ma W,Beretta E.Global asymptotic properties of a delay SIR epidemicmodel with-nite incubation times[J].Nonl Anal,2000,(42):93l-947.
  • 5[5]Sanyi Tang,Lansun Chen.Global Qualitative Analysis for a Ratio-Dependent Predator-Prey Model with Delay[J].J Math Anal Appl,2002,(266):401-419.
  • 6[6]Ma W,Takeuchi Y,Hara T,etal.Permanence of an SIR epidemic model withdistributed time delays[J].Tohoku Math J,2002,(54):581-591.
  • 7[7]Hale J K.Theory of Functional Di erential Equations[M].New York:Springer-verlag,1997.

同被引文献11

  • 1A J Cherry, C J Lomer, D Djegui, et al. Pathogen incidence and their potential as microbial control agents in IPM of maize stemborers in West Africa[ J]. Biocontrol, 1999,44 (a) :301 - 327.
  • 2P Ferron. Pest Control Using the Fungi Beauveria and Metarhizinm. Microbial Control in Pests and Plant Diseases [ M ]. New York: Academic Press, 1981.
  • 3H J Freedman. Graphical stability, enrichment, and pest control by a natural enemy [ J ]. Math Biosci, 1976,31:207 -225.
  • 4J Grasman, O A Van Herwarrden, L Hemerik, et al. A two-component model of host-parasitoid interactions : determination of the size of i nundative releases ofparasitoids in biological pest control[ J ] Math Biosci ,2001,196:207 -216.
  • 5J C Van Lenteren. Measures of Success in Biological Control of Anthropoids by Augmentation of Natural Enemies [ M ]. Boston: Kluwer Press ,2000.
  • 6H D Burges, N W H ussey. Microbial Control of Insects and Mites [ M ]. New York:Academic Press, 1971.
  • 7L A Falcon. Problem associated with the use of arthropod viruses in pest control [ J ]. Annu Rev Entomol, 1976,21:305 - 324.
  • 8Y Tanada. Biological Control of Insect Pests and Weeds[ M ]. England:Chapman and Hall, 1964.
  • 9R M Anderson, R M May. Regulation and stability of host-parasite population interactions I Regulatory Processes [ J ]. J Anim Ecol, 1978,47:219 - 247.
  • 10B S Goh. Management and Analysis of Biological Populations [ M ]. Amsterdam:Elsevier Scientific Publishing Company, 1980.

引证文献1

二级引证文献3

鞍山师范学院学报
2006年 第6期

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