摘要
根据流行病的传播规律,建立了一类具有时滞和非线性发生率的SEIRS流行病脉冲微分系统,证明了系统无病周期解的存在性和全局吸引性,并进一步给出了系统持续生存的条件.
According to the propagation of the epidemic, a SEIRS epidemic system with time delays and nonlinear incidence rate was established. The existence and global attractivity of the infection-free periodic solution were proved. In the end, the sufficient conditions for which the system is persist were obtained.
出处
《信阳师范学院学报（自然科学版）》
CAS
北大核心
2014年第4期478-482,共5页
Journal of Xinyang Normal University(Natural Science Edition)
基金
河南省基础与前沿技术研究计划项目(132300410329
112300410244)
信阳师范学院青年基金项目(2013-QN-058)
关键词
时滞
全局吸引
脉冲微分系统
持续性
time delay
global attractive
impulsive differential system
permanence
