Xuejuan Lu

ORCID: 0000-0002-6080-3812
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About
Contact & Profiles
Research Areas
  • Evolution and Genetic Dynamics
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Animal Disease Management and Epidemiology
  • Immune Cell Function and Interaction
  • HIV Research and Treatment
  • T-cell and Retrovirus Studies
  • COVID-19 epidemiological studies

Harbin Institute of Technology
2015-2017

In this paper, we propose and analyze a delayed HIV-1 model with CTL immune response virus waning. The two discrete delays stand for the time infected cells to produce viruses after viral entry CD$8^+$ T cell emerge control replication. We obtain positiveness boundedness of solutions find basic reproduction number $R_0$. If $R_0<1 then="" the="" infection-free="" steady="" state="" is="" globally=""...

10.3934/mbe.2016.13.135 article EN Mathematical Biosciences & Engineering 2015-10-09

To study the impact of media coverage on spread and control infectious diseases, we use a susceptible-exposed-infective (SEI) model, including individuals' behavior changes in their contacts due to influences coverage, fully investigate model dynamics. We define basic reproductive number $\Re_0$ for show that modeled disease dies out regardless initial infections when $\Re_0 < 1$, becomes uniformly persistently endemic if $\Re_0>1$. When is influence less than or equal critical number, there...

10.3934/mbe.2017068 article EN Mathematical Biosciences & Engineering 2017-05-01

In this paper, we include two time delays in a mathematical model for the CD8$^+$ cytotoxicT lymphocytes (CTLs) response to Human T-cell leukaemia virus type I (HTLV-I) infection,where one is intracellular infection delay and other immune account aseries of immunological events leading CTL response. We show that global dynamicsof system are determined by threshold values $R_0$, correspondingreproductive number viral infection, $R_1$, corresponding reproductive numberof response,...

10.3934/mbe.2015.12.431 article EN Mathematical Biosciences & Engineering 2015-01-01
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