捕食者有病且具有垂直传染的生态-流行病SIS模型分析  

Analysis of Eco-epidemiological SIS Model with Epidemic and Vertical Transmission in the Predator

作　　者：詹丽[1] 宋燕[1] 张靖[1] 

机构地区：[1]渤海大学数学系,辽宁锦州121000

出　　处：《沈阳化工学院学报》2008年第4期373-376,384,共5页Journal of Shenyang Institute of Chemical Technolgy

基　　金：辽宁省教育厅高校科研项目(编号20040029)

摘　　要：建立并分析了捕食者具有疾病且有垂直传染生态-流行病(SIS)模型,讨论了解的有界性.应用特征根法和Hurwitz判别法得到了平衡点的局部渐进稳定的充分条件,并进一步讨论平衡点和正平衡点的全局稳定性,得到了边界平衡点全局稳定的充分条件.We formulated and analyzed the predator-prey model of predator with epidemic and vertical transmission. The boundness of solution and the sufficient condition of locally asymptotically stable of the equilibria are studied, furthermore, the global stability of the equilibria, and the sufficient condition of boundary eqUilibrium and positive equilibrium global stability are also obtained.

关 键 词：生态-流行病模型 垂直感染 渐进稳定 永久持续生存 传染病 

分 类 号：O175[理学—数学]