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一类具有常数移民且带隔离项的传染病模型 被引量：3

SIQS Epidemiological Model with Quarantine and Constant Immigration
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摘要 建立了有常数输入且带隔离项的传染病模型,分析了模型的平衡点及稳定性,得到阈值R0的表达式.通过对阈值的分析,提出防治传染病的隔离措施,其中采取隔离措施的时间及强度是控制疫情的关键. Consider a SIQS epidemiological model with quarantine and constant immigration and carried out a detail theoretical analysis for the above-mentioned model.Threshold conditions whether or not the disease is extinct and the complete results of global stability are obtained.According to the complete results of global stability obtained,then proposed the strategy of controlling epidemic disease by increasing conversion rate from infectors to isolated persons,or the ratio of isolated persons inputted.
作者 张靖 任静
机构地区 内蒙古师范大学数学科学学院 兴城市第二高中
出处 《内蒙古师范大学学报（自然科学汉文版）》 CAS 北大核心 2012年第2期115-119,共5页 Journal of Inner Mongolia Normal University(Natural Science Edition)
关键词 传染病模型 稳定性 阈值 隔离项 epidemic model stability threshold quarantine
分类号 O175 [理学—基础数学]
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二级参考文献7

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共引文献53

同被引文献21

  • 1丁玲芬,李建利.一类具有垂直传染非自治的SEIR传染病模型[J].云南大学学报（自然科学版）,2008,30(S2):139-143. 被引量：2
  • 2刘艳萍.具有垂直传染非自治SIR传染病模型的持久性和灭绝性[J].新疆大学学报（自然科学版）,2005,22(3):263-269. 被引量：3
  • 3H Gerd, R Ray. Non-Autonomous SEIRS and Thron Models for Epidemiology and Cell Biology[ J]. Nonlinear Analysis, 2004, 5 (1):33-44.
  • 4ZHANG Tailei, TENG Zhidong. On a Non-Autonomous SEIRS Model in Epidemiology [ J ]. Bulletin of Mathematical Biology, 2007, 69(8) : 2537 -2559.
  • 5F A B Coutinho, M N Burattini, L F Lopez. Threshold Conditions for a Non-Autonomous Epidemic System Describing the Population Dynamics of Dengue[J]. Bulletin of Mathematical Biology, 2006, 68 (8) : 2263 - 2282.
  • 6M Martcheva. A Non-Autonomous Multi -Strain SIS Epidemic Model[ J ]. Biological Dynamics, 2009, 3 (2) : 235 - 251.
  • 7ZHANG Tailei, LIU Junli. Dynamic Behavior for a Non-autono- mous SIRS Epidemic Model with Distributed Delays [ J ]. Applied Mathematics and Computation, 2009, 214( 2 ): 624- 632.
  • 8ZHANG Tailei, LIU Junli, TENG Zhidong. A Non-autonomous Epidemic Model with Time Delay and Vaccination [ J ]. Mathe- matical Methods in the Applied Sciences, 2010, 33 ( 1 ) : 1 - 11.
  • 9LIU Junli, ZHANG Tailei. Analysis of a Non-Autonomous Epi- demic Model with Density Dependent Birth Rate [ J ]. Applied Mathematical Modeling, 2010, 34(4): 866-877.
  • 10BAI Zhengguo, ZHOU Yicang. Existence of Two Periodic Solu- tions for a Non-Autonomous SIR Epidemic Model [ J ]. Applied Mathematical Modeling, 2011, 35 ( 1 ) : 382 - 391.

引证文献3

二级引证文献5

内蒙古师范大学学报（自然科学汉文版）
2012年 第2期

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