期刊文献+

一类受疾病影响的传染病模型解的渐近性

Asymptotic Behaviour of Solution to an Epidemiological Model with Desease in the Prey
下载PDF
导出
摘要 对一类受疾病影响的传染病捕食模型进行探讨,证明了当捕食者和高端捕食者的死亡率达到一定条件时,模型的解是一致全局渐近稳定的,此时捕食者和高端捕食者将灭绝. This paper discusses an epidemiological predatory model with desease in the prey. It proves that the solution to the model is consistently asymptotically stable in the large when the death rates of predators and top predators fulfil certain conditions. Meanwhile, both the former and the latter will become extinct.
作者 任丽萍
出处 《徐州建筑职业技术学院学报》 2008年第2期33-35,共3页 Journal of XUZHOU Institute of Architectural Technology
关键词 传染病模型 比率功能项 全局渐近稳定 epidemiological model ratio-dependent functional response asymptotically stable in the large
  • 相关文献

参考文献3

二级参考文献12

  • 1Hethcote H W.A thousand and epidemic models[A].In:Levin S A ed Frontiers in Theoretical Biology[C]//Berlin:Springer-verlag,1994:504-515 被引量:1
  • 2Hethcote H W.The mathematics of infectious disease[J].SIAM Review,2000,42(4):599-653 被引量:1
  • 3Anderson R M,May R M.The invasion,persistence,and spread of infectious diseases within animal andplant communites[J].Philosophical Transactions of the Royal Society of London,1986,B314(1167):533-570 被引量:1
  • 4Hadeler K P,Freedman H I.Predator-prey populations with parasitic infection[J].Journal of Mathematical Biology,1989,27(6):609-631 被引量:1
  • 5Venturino E.The influence of disease on Lokta-Volterra systems[J].The Rocky Mountain Journal of Mathematics,1994,24(1):381-402 被引量:1
  • 6Xiao Y,Chen L.Modeling and analysis of a predator-prey model with disease in the prey[J].Mathematical Bioscience,2001,171(1):59-82 被引量:1
  • 7Han L,et al.Four predator prey models with infectious diseases[J].Mathematical and Computer Modelling,2001,34(7-8):849-858 被引量:1
  • 8Venturino E.Epidemics in predato-prey models:disease in the predators[J].IMA Journal of Mathematics Applied in Medicine and Biology,2002,19(3):185-205 被引量:1
  • 9Packer C,et al.Keeping the herds healthy and alert:implications of predator control for infectious disease[J].Ecology Letters,2003,6(9):797-802 被引量:1
  • 10Hetheote H W,et al.A predator-prey model with infected prey[J].Theoretical Population Biology,2004,66(3):259-268 被引量:1

共引文献7

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