一类具有时滞和非线性传染率的SEIRS模型研究

基金项目:

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)

详细信息

Studies on a SEIRS Epidemic Model with Time Delays and Nonlinear Incidence Rate

College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China

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
- 时滞 /
- 全局吸引 /
- 脉冲微分系统 /
- 持续性
Abstract: 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.
- time delay /
- global attractive /
- impulsive differential system /
- permanence

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