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一类具时滞依赖的生态-流行病模型的稳定性切换与控制

Stability Switches and Controlling of an Eco-Epidemiological Model with Delay-Dependent
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摘要 研究了一类具有时滞依赖的生态-流行病模型,分析了系统正解的边界和平衡点的稳定性,应用稳定性切换标准讨论了正平衡点的稳定性切换.数值模拟揭示了系统的稳定性切换现象和周期振动,讨论了参数对系统的不稳定性区域的影响. This paper considers an eco-epidemiological model with delay-dependent. The boundedness of solutions and stability of the equilibrium paints are investigated. By using stability switch criteria studying the stability switch of the positive equihbrium, numerical simulations show stability switch and periodic oscillation. Parameters a.ecting the instability regions of the system are discussed.
作者 李顺异 熊佐亮 舒志平
机构地区 南昌大学数学系
出处 《江西师范大学学报（自然科学版）》 CAS 北大核心 2009年第1期22-27,36,共7页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 江西省自然科学基金(0611084)资助项目
关键词 时滞依赖 生态-流行病模型 稳定性切换 周期振动 delay-dependent eco-epidemiological model stabihty switches periodicoscillation
分类号 Q141 [生物学—生态学]
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参考文献10

  • 1薛颖,熊佐亮.具有免疫接种且总人口规模变化的SIR传染病模型的稳定性[J].应用泛函分析学报,2007,9(2):169-175. 被引量：7
  • 2Xiao Y N,Chen L S.Modeling and analysis of a predator-prey model with disease in the prey[J]. Math Biosci,2001, 171: 59-82.
  • 3Chatterjee S,Das K,Chattopadhyay J.Time delay factor can be used as a key factor for preventing the outbreak of a disease results drawn from a mathematical study of a one season eco-epidemiological model[ J]. Nonl Anal Real World Appl,2007,8:1427-1493.
  • 4Sun C J,Lin Y P,Han M A. Stability and Hopf bifurcation for an epidemic disease model with delay[J]. Chaos, Solitons and Fractals, 2006, 30:204-216.
  • 5宋新宇,肖燕妮,陈兰荪.具有时滞的生态-流行病模型的稳定性和Hopf分支[J].数学物理学报（A辑）,2005,25(1):57-66. 被引量：27
  • 6Aiello W G, Freedman H I. A time delay model of single-species growth with stage structure[ J]. Math Biosci, 1990,101: 139-153.
  • 7Holmes J C,Bethel W M. Modi-cation of intermediate host behavior by parasites[J] .E.V. Canning, C.A. Wright, eds. Behaviouml Aspects of Parasite Transmission Zoolf Linnean Soc, 1972, 51 ( 1 ) : 123-149.
  • 8Beretta E, Kuang Y. Geometric stability switch criteria in delay di. erential systems with delay-dependent paramaters[J]. J SIAM Math Anal, 2002, 33:1144-1165.
  • 9Yang X, Chen L S, Chen F. Permanence and positive periodic solution for the single species nonauto-nomous delay di. usive model[J]. Comp Math Appl, 1996,32: 109-116.
  • 10Gopalsamy K. Stability and oscillation in delay di. erential equations of population dynamics[ M]. A Dordrecht, The Neterlands: Kluwer Academic Publishers, 1992.

二级参考文献24

  • 1徐文雄,张仲华,徐宗本.具有一般形式饱和接触率SEIS模型渐近分析[J].生物数学学报,2005,20(3):297-302. 被引量：23
  • 2Hethcote H W. A thousand and one epidemic models. In: S A Levin, ed. Frontiers in Mathematical Biology, Lecture Notes in Biomathematics 100, Berlin/Heidelberg, New York: Springer-Verlag, 1994. 504-515.
  • 3Anderso R M,May R M.Infectious Disease of Humans,Dynamics and Control.London:Oxford University Press, 1991.
  • 4Bailey N J T. The Mathematical Theory of Infectious Disease and Its Applications. London: Griffin, 1975.
  • 5Diekmann O,Hecsterbeck J A P,Metz J A J.The legacy of Kermack and Mckendrick.In:D Mollision,ed.Epidemic Models: Their Structure and Relation to Dat. Cambridge: Cambridge University Press, 1994.
  • 6Hadeler K P, Freedman H I. Predator-prey population with parasitic infection. J Math Biol, 1989, 27: 609-631.
  • 7Chattopadhyay J, Arino O. A predator-prey model with disease in the prey. Nonlinear Anal. 1999, 36: 749-766.
  • 8Venturino E. The influence of disease on Lotka-Volterra system. Rockymount. J Math, 1994, 24: 389-402.
  • 9Xiao Y N, Chen L S. Modeling and analysis of a predator-prey model with disease in the prey. Math Biosci, 2001, 171(1): 59-82.
  • 10Holmes J C, Bethel W M. Modification of intermediate host behavior by parasites. In: E V Canning, C A Wright, eds. Behavioural Aspects of Parasite Transmission Zool f Linnean Soc, 1972, 51(1): 123-149.

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江西师范大学学报（自然科学版）
2009年 第1期

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