具有高危易感年龄和潜伏期年龄的HIV传播模型研究

王雅萍; 王生福; 聂麟飞

doi:10.13568/j.cnki.651094.651316.2022.04.06.0001

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具有高危易感年龄和潜伏期年龄的HIV传播模型研究

更新时间：2026-01-21

- 具有高危易感年龄和潜伏期年龄的HIV传播模型研究
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 40, Issue 2, Pages: 160-168(2023)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：10.13568/j.cnki.651094.651316.2022.04.06.0001
  CLC： R181;O175
- Published：2023
- 稿件说明：
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[1]王雅萍,王生福,聂麟飞.具有高危易感年龄和潜伏期年龄的HIV传播模型研究[J].新疆大学学报(自然科学版)(中英文),2023,40(02):160-168+174.
[1]王雅萍,王生福,聂麟飞.具有高危易感年龄和潜伏期年龄的HIV传播模型研究[J].新疆大学学报(自然科学版)(中英文),2023,40(02):160-168+174. DOI： 10.13568/j.cnki.651094.651316.2022.04.06.0001.

DOI：10.13568/j.cnki.651094.651316.2022.04.06.0001.

摘要

基于HIV的传播特点，将易感人群分为普通易感人群和高危易感人群，提出一类具有高危易感年龄和潜伏期年龄的HIV传播模型．利用下一代算子方法给出基本再生数R0的精确表达式．讨论无病平衡态和地方病平衡态的存在性与稳定性，即：当R0<1时无病平衡态全局渐近稳定，当R0>1时地方病平衡态全局渐近稳定．

Abstract

Based on the transmission characteristics of HIV

the susceptible population is divided into general susceptible population and high-risk susceptible population

and an HIV transmission model with high-risk susceptible age and latent age is developed. The exact expression of the basic reproduction number R0 is obtained by using the next generation operator method. The existence and stability of disease-free steady state and endemic steady state are discussed

that is

the disease-free steady state is globally asymptotically stable for R0<1 and the endemic steady state is globally asymptotically stable for R0>1.

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references

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