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《山东大学学报(理学版)》 ›› 2023, Vol. 58 ›› Issue (10): 1-12.doi: 10.6040/j.issn.1671-9352.0.2023.340

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异质性传染病模型峰值和达峰时间研究

刘胜强1(),马宁涓2   

  1. 1. 天津工业大学数学科学学院, 天津 300387
    2. 北京拔萃骏源学校, 北京 101102
  • 收稿日期:2023-08-04 出版日期:2023-10-20 发布日期:2023-10-17
  • 作者简介:刘胜强(1975—)，男，教授，博士生导师，博士，研究方向为生物数学与动力系统. E-mail：sqliu@tiangong.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(12271401);天津市应用基础研究面上资助项目(22JCYBJC00080)

Peak value and peak time of nonlinear heterogeneous epidemic model

Shengqiang LIU1(),Ningjuan MA2   

  1. 1. School of Mathematical Science, Tiangong University, Tianjin 300387, China
    2. Beijing Bacui Junyuan School, Beijing 101102, China
  • Received:2023-08-04 Online:2023-10-20 Published:2023-10-17

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摘要：

研究了短时间尺度下的非线性异质性传染病模型的传播规律, 建立了具有易感异质性的多群组传染病模型峰值以及达峰时间的理论结果, 并通过数值拟合验证了模型的有效性。

关键词: 传染病模型, 短时间尺度, 社会距离, 传播规律

Abstract:

The study focuses on analyzing the transmission mechanisms of nonlinear heterogeneous epidemic models within a short-time frame. As a result, novel criteria for determining the peak value and peak time of a heterogeneous epidemic model are achieved, and numerical fitting is applied to prove the efficient of the mold.

Key words: epidemic model, short-time scale, social distance, transmission mechanism

中图分类号: 

  • O193

图1

系统(1)和(5)的流行病发展趋势图"

图2

系统(5)和(10)的流行病发展趋势图"

图3

系统(6)和(11)的流行病发展趋势图"

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