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一类饲养业中发生的传染病模型的全局分析 被引量：4

Global Analysis of an Epidemic Model in Feedlot
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摘要 根据当所饲养的禽畜发生传染病时饲养业者的实际行为,研究了具有常数输入且输入者中必含潜伏期者的SEQ(I)S模型.利用三维竞争系统的Poincare-Bendixson性质排除了周期解的存在,证明了唯一的疾病存在平衡点的全局稳定性. In this paper ,we research a SEQ（I）S epidemic model with constant immigration and existence of latent period individuals in immigrant based on the actual behaviors in feedlot.By the Poincare-Bendixson property of competitive system, we exclude the existence of periodic trajectories, prove that the unique disease equilibrium is globally stable.
作者 陈永雪 黄运金
机构地区 福建农林大学计算机与信息学院
出处 《生物数学学报》 CSCD 北大核心 2011年第2期322-328,共7页 Journal of Biomathematics
基金 福建省教育厅基金(JA09071)
关键词 平衡点 竞争系统 复合矩阵 全局稳定性 Equilibrium Competitive system Compound matrix Global stability
分类号 O175.1 [理学—基础数学]
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  • 1温家宝.加强领导,落实责任,坚决打好非典型肺炎这场硬仗.http://www.moh.gov.cn.,2003.
  • 2[1]Kermark M D. Mokendrick A G. Contributions to the mathematical theory of epidemics[J]. Part I, Proc Roy Soc, A, 1927, 115(5):700-721.
  • 3[2]Cooke K L. Stability analysis for a vector disease model[J]. Rocky Mount J Math, 1979, 9(1):31-42.
  • 4[3]Hethcote H W. Qualititative analyses of communicable disease models[J]. Math Biosci, 1976, 28(3):335-356.
  • 5[4]Capasso V. Mathematical structures of epidemic systems[J]. Lecture notes in biomath[M]. 97 Springer-verlag,1993.
  • 6[5]Hethcote H W, Liu W M, Leven S A. Dynamical behavior of epidemiological models with nonlinear incidence rates[J]. Math Biosci, 1987, 25(3):359-380.
  • 7[6]Capasso V, Serio G. A generalization of the Kermack-Mckendrick deterministic epidemic model[J]. Math Biosci, 1978, 42(1):41-61.
  • 8[7]Bailey N T J. The Mathematical Theorey of Infectious Diseases.[M]. London: Griffin, 1975.
  • 9Thieme H R, Castillo-Chavez C. On the role of variable infectivity in the dynamics of the Human Immunodeficiency virus epidemic [ A]. Castillo-Chavez C.Mathematical and Statistical Approaches to AIDS Epidemiology [C]. New York: Springer, 1989.
  • 10Anderson R M. Transmission dynamics and control of infectious diseases [A]. Anderson R M, May M R.Population Biology of Infectious Diseases, Life Sciences Research Report 25 [C]. Berlin: Springer,1982.

共引文献112

同被引文献17

  • 1Mukhopadhyay B,Bhattacharyya R.Rote of predator switching in en eco-epidemiological model with disease in the prey[J].Ecological Modelling,2009,220(7):931-939.
  • 2Chatterjee S,Das K,Chattopadhyay J.Time delay factor can be used as a key factor for preventing the outbreak of a disease-Results draw from a mathematical study of a one season eco-epidemiological model[J].Nonlinear Analysis:Real World Applications,2007,8(5):1472-1493.
  • 3Chen Yongxue,Jiang Yong.An Eco-epidemiological Model with Infectious Disease in Food Chain[J].International Journal of Bifurcation and Chaos,2011,21(7):1935-1952.
  • 4Hudson P J,Dobson A P,Newborn D.Do parasites make prey vulnerable to predation?Red grouse and parasites[J].Journal of Animal Ecology,1992,61(3):681-692.
  • 5Peterson R O,Page R E.The rise and fall of isle Royale wolves,1975-1986[J].Journal of Mammalogy,1988,69(1):89-99.
  • 6Bairagi N,Roy P K,Chattopadhyay J.Role of infection on the stability of a predator-prey system with several response functions-A comparative study[J].Journal of Theoretical Biology,2007,248(1):10-25.
  • 7Bulter G J,Freedman H I,Waltman P.Uniformly persistent system[J].Proceedings of the American Mathematical Society,1986,96(3):425-430.
  • 8张友声,米安然.计算机病毒与木马程序剖析[M].北京:北京科海电子出版社,2003.
  • 9KEPHART J O, ORKIN G B, CHESS D M, et al. Fighting computer viruses[J]. Computer and Security, 1997,16(8) :676 - 677.
  • 10PASTOR-SATORRAS R, VESPIGNANI A. Epidemic spreading in scale-free networks[J ]. Phys Rev Lett, 2001,86( 14): 3200 - 3203.

引证文献4

二级引证文献15

生物数学学报
2011年 第2期

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