A nonlinear HIV/AIDS model with contact tracing

DOI10.1016/j.amc.2011.04.033zbMath1217.92075OpenAlexW2061572395MaRDI QIDQ555347

Ram Naresh, Dileep Sharma, Agraj Tripathi

Publication date: 22 July 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.033

zbMATH Keywords

stability analysisnumerical simulationscreeningreproduction number

Mathematics Subject Classification ID

Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Stability of solutions to ordinary differential equations (34D20) Medical epidemiology (92C60)

Related Items (6)

The impacts of reducing the infection rate and infection source on the transmission of emerging infectious diseases ⋮ Stochastic effects on an HIV/AIDS infection model with incomplete diagnosis ⋮ Analysing transmission dynamics of HIV/AIDS with optimal control strategy and its controlled state ⋮ Impacts of detection and contact tracing on the epidemic spread in time-varying networks ⋮ Optimal multi-therapeutic HIV treatment using a global optimal switching scheme ⋮ Mathematical modelling of HIV epidemic and stability analysis

Cites Work

• Modelling the social dynamics of a sex industry: its implications for spread of HIV/AIDS
• Modelling the HIV/AIDS epidemic trends in South Africa: insights from a simple mathematical model
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• Modeling the effect of screening of unaware infectives on the spread of HIV infection
• The differential infectivity and staged progression models for the transmission of HIV
• The effect of density-dependent treatment and behavior change on the dynamics of HIV transmission
• Stability analysis for differential infectivity epidemic models
• Global stability of a two-stage epidemic model with generalized non-linear incidence
• Modeling the impact of random screening and contact tracing in reducing the spread of HIV.
• A model for HIV in Asia
• Modelling the spread of AIDS epidemic with vertical transmission
• A Framework for Epidemic Models
• MODELING THE SPREADING OF HIV IN HOMOSEXUAL POPULATIONS WITH HETEROGENEOUS PREVENTIVE ATTITUDE
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