摘要
考虑了垂直传染和预防接种的因素对传染病流行的影响,建立了一个具有急慢性阶段的SIVR模型,讨论了系统的可行域,研究了系统平衡点的稳定性,得到了平衡点全局稳定的充分条件。最后进行数值模拟。
An SIVR epidemic model with acute and chronic infection stages is considerd which is considerd the factors of vertical infection and precautionary vaccination. The feasible region of the model is obtained and studied the stability of the equilibriums. Sufficient conditions for the globally asymptotical stability of the endemic equilibrium are established. At last, a numerical simulation to test and verify the conclusions is given.
出处
《科学技术与工程》
2008年第15期4051-4054,4059,共5页
Science Technology and Engineering
基金
国家自然科学基金项目(10671011)资助
关键词
SIVR模型
可行域
平衡点
稳定性
数值模拟
SIVR model feasible region equilibrium stability numerical simulations
