摘要
建立了一类具有一般发生率的阶段结构传染病模型,利用Hurwitz判据和极限系统理论知识等,分别讨论了染病者无输入和染病者有输入时,疾病消除平衡点和地方病平衡点的局部和全局稳定性,得到了一些重要结论,并对所得结果进行了数值模拟.
The paper deals with a stage-structured edpidemological model with general incidence rates. By Hurwitz criterion and the theory of limiting systems, etc. When b = 0 and b≠0 the local stability and the global stability of the disease free equilibriums and the epidemic equihriums are discussed, respectively. We get some important results and also simulate them.
出处
《大学数学》
2016年第3期14-23,共10页
College Mathematics
基金
国家自然科学基金(61174209)
关键词
传染病模型
平衡点
局部渐近稳定
全局渐近稳定
epidemic model
equilibrium
local asymptotically stability
global asymptotically stability
