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带有外部输入项的时间周期SIR传染病模型的周期行波解

宋雪 杨赟瑞 杨璐

宋雪,杨赟瑞,杨璐. 带有外部输入项的时间周期SIR传染病模型的周期行波解 [J]. 应用数学和力学,2022,43(10):1164-1176 doi: 10.21656/1000-0887.430108
引用本文: 宋雪,杨赟瑞,杨璐. 带有外部输入项的时间周期SIR传染病模型的周期行波解 [J]. 应用数学和力学,2022,43(10):1164-1176 doi: 10.21656/1000-0887.430108
SONG Xue, YANG Yunrui, YANG Lu. Periodic Traveling Wave Solutions of Time-Periodic SIR Epidemic Models With External Supplies[J]. Applied Mathematics and Mechanics, 2022, 43(10): 1164-1176. doi: 10.21656/1000-0887.430108
Citation: SONG Xue, YANG Yunrui, YANG Lu. Periodic Traveling Wave Solutions of Time-Periodic SIR Epidemic Models With External Supplies[J]. Applied Mathematics and Mechanics, 2022, 43(10): 1164-1176. doi: 10.21656/1000-0887.430108

带有外部输入项的时间周期SIR传染病模型的周期行波解

doi: 10.21656/1000-0887.430108
基金项目: 国家自然科学基金(11761046);甘肃省自然科学基金(20JR5RA411)
详细信息
    作者简介:

    宋雪(1997—),女,硕士生(E-mail:sx18604126839@163.com

    杨赟瑞(1979—),女,教授,博士,硕士生导师(通讯作者. E-mail:lily1979101@163.com

    杨璐(1997—),女,硕士生(E-mail:yanglu19970729@163.com

  • 中图分类号: O175.14

Periodic Traveling Wave Solutions of Time-Periodic SIR Epidemic Models With External Supplies

  • 摘要:

    研究了一类带有外部输入项的时间周期SIR传染病模型周期行波解的存在性和不存在性。首先,通过构造辅助系统适当的上下解并定义闭凸锥,将周期行波解的存在性转化为定义在这个闭凸锥上的非单调算子的不动点问题,利用Schauder不动点定理建立辅助系统周期解的存在性,并利用Arzela-Ascoli定理证明了原模型周期行波解的存在性。其次,借助分析技术得到了周期行波解的不存在性。

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出版历程
  • 收稿日期:  2022-03-30
  • 录用日期:  2022-06-24
  • 修回日期:  2022-06-24
  • 网络出版日期:  2022-08-31
  • 刊出日期:  2022-10-31

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