具分布时滞的SIR传染病模型的脉冲免疫控制
Pulse Vaccination Control of an SIR Epidemic Model with Distributed Delays
DOI: 10.12677/AAM.2020.93043, PDF,  被引量    国家自然科学基金支持
作者: 张 丹, 张玉蓉, 许碧云, 杨志春：重庆师范大学数学科学学院，重庆
关键词: 传染病模型；脉冲免疫；分布时滞；周期解；持续性；Epidemic Model； Pulse Vaccination； Distributed Delays； Periodic Solution； Permanence
摘要: 论文主要研究一类具有脉冲免疫控制和有界分布时滞的SIR传染病模型的动力学行为。首先，利用脉冲型比较原理和分析技巧，获得系统的灭绝性，即无病周期解的存在性及其全局稳定性，然后，利用线性分布时滞微分方程性质，获得系统持久性的充分条件。
Abstract: This paper investigates a class of an SIR epidemic model with pulse vaccination and distributed delays. By using the impulsive comparison theory and analysis technique, we obtain the sufficient conditions on existence and global asymptotic stability of disease-free periodic solution. Further-more, the permanence of the model is also studied.
文章引用：张丹, 张玉蓉, 许碧云, 杨志春. 具分布时滞的SIR传染病模型的脉冲免疫控制[J]. 应用数学进展, 2020, 9(3): 359-365. https://doi.org/10.12677/AAM.2020.93043

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