A model for HIV in Asia

DOI10.1016/0025-5564(94)00072-8zbMath0833.92016OpenAlexW2038465443WikidataQ46750471 ScholiaQ46750471MaRDI QIDQ1901149

Ying-Hen Hsieh, Stavros N. Busenberg, Kenneth L. Cooke

Publication date: 20 March 1996

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(94)00072-8

zbMATH Keywords

persistenceextinctionAIDS epidemicthreshold parametersspread of HIVtotal populationprostitutesendemic proportionsexistence of multiple endemic equilibriaexistence of multiple stable equilibriainfective population

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (16)

Basic reproduction number for HIV model incorporating commercial sex and behavior change ⋮ Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission ⋮ The Volterra–Lyapunov matrix theory for global stability analysis of a model of the HIV/AIDS ⋮ Using the Kalman filter and dynamic models to assess the changing HIV/AIDS epidemic ⋮ Modelling and analysis of the spread of AIDS epidemic with immigration of HIV infectives ⋮ A stochastic model of the HIV epidemic for heterosexual transmission involving married couples and prostitutes. I: The probabilities of HIV transmission and pair formation ⋮ Modeling the effect of screening of unaware infectives on the spread of HIV infection ⋮ Global analysis of an SEIR model with varying population size and vaccination ⋮ Unnamed Item ⋮ A model for HIV transmission with two interacting high-risk groups ⋮ HIV/AIDS dynamics: impact of economic classes with transmission from poor clinical settings ⋮ Analysis of a delayed HIV/AIDS epidemic model with saturation incidence ⋮ Modelling the effect of tuberculosis on the spread of HIV infection in a population with density-dependent birth and death rate ⋮ A nonlinear HIV/AIDS model with contact tracing ⋮ Modelling the spread of AIDS epidemic with vertical transmission ⋮ Approximate analytical solution with stability analysis of HIV/AIDS model

Cites Work

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• Models for pair formation in bisexual populations
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Modelling the effect of treatment and behavioral change in HIV transmission dynamics
• An epidemiological model for HIV/AIDS with proportional recruitment
• Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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