摘要
建立了一类具有连续接种免疫的SEIR模型,讨论了其无病平衡点的稳定性,并由Lasalle不变原理得到了无病平衡点的全局稳定性.运用解析的方法讨论了系统的正平衡点的存在唯一性,并且应用Routh-Hurwitz判据讨论了正平衡点的稳定性;并在文未进行了数值模拟.
In this paper, a SEIR model with continuous vaccination is proposed. The stability of the disease - free equilibrium is discussed ,and the global stability of the disease- free equilibrium is discussed with the Lasalle＇s invariance principle. Using analytical methods, the existence, uniqueness and stability of the positive equilibrium are obtained,and it＇s stability is also discussed by Routh- Hurwith criterion. Finally,numerical simulations are also included.
出处
《昆明理工大学学报（理工版）》
北大核心
2009年第6期119-124,共6页
Journal of Kunming University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(项目编号:10872183)
