一类具有潜伏感染细胞的时滞病毒感染模型

杨俊仙; 于淑妹

doi:10.13471/j.cnki.acta.snus.2019.07.17.2019A058

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一类具有潜伏感染细胞的时滞病毒感染模型

研究论文 | 更新时间：2023-11-01

- 一类具有潜伏感染细胞的时滞病毒感染模型
- A delayed virus infection model with latent infection cells
- 中山大学学报(自然科学版) 2020年59卷第4期页码：158-167
- 作者机构：
  
  安徽农业大学理学院, 安徽合肥 230036
- 作者简介：
  
  杨俊仙(1976年生)，女;研究方向:微分方程、生物数学;E-mail:yangjunxian@ahau.edu.cn
  于淑妹(1983年生)，女;研究方向:微分方程、生物数学;E-mail:yushumei@ahau.edu.cn
- 基金信息：
  
  国家自然科学基金(11201002);安徽高校自然科学研究(KJ2017A815)
- DOI：10.13471/j.cnki.acta.snus.2019.07.17.2019A058
  中图分类号： O175.14
- 纸质出版日期：2020-07-20，
  
  收稿日期：2019-07-17，
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杨俊仙,于淑妹.一类具有潜伏感染细胞的时滞病毒感染模型[J].中山大学学报(自然科学版),2020,59(04):158-167.

YANG Junxian,YU Shumei.A delayed virus infection model with latent infection cells[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(04):158-167.
杨俊仙,于淑妹.一类具有潜伏感染细胞的时滞病毒感染模型[J].中山大学学报(自然科学版),2020,59(04):158-167. DOI： 10.13471/j.cnki.acta.snus.2019.07.17.2019A058.

YANG Junxian,YU Shumei.A delayed virus infection model with latent infection cells[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(04):158-167. DOI： 10.13471/j.cnki.acta.snus.2019.07.17.2019A058.

摘要

提出了一类具有潜伏感染细胞的时滞病毒感染模型，定义了基本再生数，给出了每个平衡点存在的充分条件。通过构造Lyapunov函数和利用LaSalle不变集原理，证明了当基本再生数小于或等于1时，无病平衡点是全局渐近稳定的；当基本再生数大于1时，慢性感染平衡点是全局渐近稳定的，但无病平衡点是不稳定的。结论表明

模型中的潜伏感染时滞、内时滞和病毒产生时滞并不影响模型的全局稳定性，并通过数值模拟验证了所得理论结果。

Abstract

A class of delayed virus infection models with latently infected cells are investigated.The basic reproduction number is defined

and the sufficient conditions for the existence of each feasible equilibrium are given.By using Lyapunov functionals and LaSalle's invariance principle

it is proved that when the basic reproduction number is less than or equal to unity

the infection-free equilibrium is globally asymptotically stable;when the basic reproduction number is greater than unity

the chronic-infection equilibrium is globally asymptotically stable

but the infection-free equilibrium is unstable.The results show that the latently infected delay

the intracellular delay

and virus production period in the model do not affect the global stability of the model

and numerical simulations are carried out to illustrate the theoretical results.

关键词

潜伏感染细胞Beddington-DeAngelis发生率时滞病毒感染模型全局稳定性

Keywords

latently infected cellsBeddington-DeAngelis incidencedelayvirus infection modelglobal stability

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