Mathematical analysis of an HIV model with impulsive antiretroviral drug doses
From MaRDI portal
Publication:433623
DOI10.1016/j.matcom.2011.10.007zbMath1241.92039OpenAlexW1976332024MaRDI QIDQ433623
Xianning Liu, Wendi Wang, Ting Gao
Publication date: 5 July 2012
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2011.10.007
Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)
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Cites Work
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- Distinct effects of protease and reverse transcriptase inhibition in an immunological model of HIV-1 infection with impulsive drug effects
- Drug resistance in an immunological model of HIV-1 infection with impulsive drug effects
- Infinite subharmonic bifurcation in an SEIR epidemic model
- Viral diversity limits immune diversity in asymptomatic phase of HIV infection
- Multiple stable subharmonics for a periodic epidemic model
- Viral infection model with periodic lytic immune response
- Within-host virus models with periodic antiviral therapy
- Improving estimates of the basic reproductive ratio: Using both the mean and the dispersal of transition times
- Threshold dynamics for compartmental epidemic models in periodic environments
- A class age-structured HIV/AIDS model with impulsive drug-treatment strategy
- The dynamics of an epidemic model for pest control with impulsive effect
- Subharmonic bifurcation in an S-I-R epidemic model
- Competing predators for a prey in a chemostat model with periodic nutrient input
- Modeling HIV dynamics and antiviral response with consideration of time-varying drug exposures, adherence and phenotypic sensitivity
- Modeling HIV persistence, the latent reservoir, and viral blips
- Impulsive SUI epidemic model for HIV/AIDS with chronological age and infection age
- Dynamics of HIV infection of CD4\(^ +\) T cells
- Relationships between antiviral treatment effects and biphasic viral decay rates in modeling HIV dynamics
- Optimal treatment strategies derived from a HIV model with drug-resistant mutants
- Costs versus benefits: best possible and best practical treatment regimens for HIV
- Emergence of HIV-1 drug resistance during antiretroviral treatment
- Drug-sparing regimens for HIV combination therapy: Benefits predicted for ``drug coasting
- The Period in the Volterra–Lotka Predator-Prey Model
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Subharmonic solutions of periodically forced predator-prey systems
- Virus Dynamics: A Global Analysis
- Mathematical Analysis of Age‐Structured HIV‐1 Dynamics with Combination Antiretroviral Therapy
- Dynamical systems in population biology
