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具有周期发生率的SVEIRS传染病模型的动力学性态 被引量：1

Dynamic Behavior of a SVEIRS Epidemic Model with Periodic Incidence Rate
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摘要 研究了一类具有周期发生率的SVEIRS传染病模型.利用线性积分算子的谱半径定义了模型的基本再生数,证明了无病周期解的全局稳定性,利用Poincaré映射半流讨论了系统的一致持续生存,并通过数值模拟展示了所得到的理论结果和模型复杂的动力学性态. We consider a SVEIRS epidemic model with periodic incidence rate.By regarding the spectral radius of linear integral operator as basic reproduction number,we establish the global dynamics for diseasefree periodic solution.By using the method of the semi-flow of Poincarémapping,we establish the uniform persistence of system.Finally,the numerical simulations indicate the theoretical result is correct,and illustrate the complicated dynamic behavior of the epidemic model.
作者 杜燕飞 肖鹏 曹慧
机构地区 陕西科技大学数学系
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2016年第9期116-122,共7页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金项目(11301314) 陕西省自然科学基金项目(2014JQ1025)
关键词 周期传染病模型 基本再生数 稳定性 periodic epidemic model the basic reproduction number stability
分类号 O175 [理学—基础数学]
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参考文献8

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西南大学学报（自然科学版）
2016年 第9期

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