Threshold virus dynamics with impulsive antiretroviral drug effects
DOI10.1007/s00285-011-0474-9zbMath1278.34053OpenAlexW2029569463WikidataQ37458961 ScholiaQ37458961MaRDI QIDQ455777
Yijun Lou, Jie Lou, Jianhong Wu
Publication date: 22 October 2012
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: http://europepmc.org/articles/pmc3887123
HIVantiretroviral therapydisease persistencedrug kineticsimpulsive dynamicsperiodic virus dynamics model
Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Medical epidemiology (92C60)
Related Items (35)
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
- Genealogy with seasonality, the basic reproduction number, and the influenza pandemic
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- A periodic epidemic model in a patchy environment
- Threshold dynamics for compartmental epidemic models in periodic environments
- Models for the spread and persistence of hantavirus infection in rodents with direct and indirect transmission
- A tuberculosis model with seasonality
- Global dynamics of a class of SEIRS epidemic models in a periodic environment
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
- Understanding drug resistance for monotherapy treatment of HIV infection
- Uniform persistence and permanence for non-autonomous semiflows in population biology
- Dynamics of HIV infection of CD4\(^ +\) T cells
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Approximation of the basic reproduction number \(R_{0}\) for vector-borne diseases with a periodic vector population
- Emergence of HIV-1 drug resistance during antiretroviral treatment
- On a nonautonomous SEIRS model in epidemiology
- The epidemic threshold of vector-borne diseases with seasonality
- A Climate-Based Malaria Transmission Model with Structured Vector Population
- Analysis of a Nonautonomous HIV/AIDS Model
- AN IMPULSIVE DIFFERENTIAL MODEL ON POST EXPOSURE PROPHYLAXIS TO HIV-1 EXPOSED INDIVIDUAL
- Persistence Definitions and their Connections
- Uniform weak implies uniform strong persistence for non-autonomous semiflows
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- The Theory of the Chemostat
- Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
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