The impact of pre-exposure prophylaxis (PrEP) and screening on the dynamics of HIV

DOI10.1016/j.cam.2017.10.019zbMath1392.92049OpenAlexW2770659780MaRDI QIDQ1748176

Ana R. M. Carvalho, Carla M. A. Pinto

Publication date: 9 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.cam.2017.10.019

zbMATH Keywords

HCTHIVfractional modelPrEP

Mathematics Subject Classification ID

Medical epidemiology (92C60) Fractional ordinary differential equations (34A08)

Related Items (7)

Terminal value problems for the nonlinear systems of fractional differential equations ⋮ Dynamics and optimal control of a spatial diffusion HIV/AIDS model with antiretrovial therapy and pre‐exposure prophylaxis treatments ⋮ The mean value theorem and Taylor's theorem for fractional derivatives with Mittag-Leffler kernel ⋮ Stability analysis and numerical solutions of fractional order HIV/AIDS model ⋮ Memory and media coverage effect on an HIV/AIDS epidemic model with treatment ⋮ Optimal control strategies for tuberculosis dynamics with exogenous reinfections in case of treatment at home and treatment in hospital ⋮ Immune response in HIV epidemics for distinct transmission rates and for saturated CTL response

Cites Work

• Unnamed Item
• Unnamed Item
• A latency fractional order model for HIV dynamics
• Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• Chaotic attractors in incommensurate fractional order systems
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• A new fractional model for giving up smoking dynamics
• The role of synaptic transmission in a HIV model with memory
• Mathematical assessment of the role of pre-exposure prophylaxis on HIV transmission dynamics
• A modified numerical scheme and convergence analysis for fractional model of Lienard's equation
• Modelling HIV/AIDS in the presence of an HIV testing and screening campaign
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• An efficient analytical technique for fractional model of vibration equation
• Advances in Fractional Calculus

This page was built for publication: The impact of pre-exposure prophylaxis (PrEP) and screening on the dynamics of HIV