A novel time delayed HIV/AIDS model with vaccination \& antiretroviral therapy and its stability analysis

DOI10.1016/J.APM.2012.09.065zbMath1426.92079OpenAlexW2004925717MaRDI QIDQ1667743

Bochu Wang, Defang Liu

Publication date: 30 August 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.09.065

zbMATH Keywords

time delaystability analysisvaccinationHIV/AIDSantiretroviral therapy (ART)

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (11)

Qualitative analysis of an HIV/AIDS model with treatment and nonlinear perturbation ⋮ A delayed SEIRS epidemic model with impulsive vaccination and nonlinear incidence rate ⋮ Analysing transmission dynamics of HIV/AIDS with optimal control strategy and its controlled state ⋮ Dynamics of a stochastic HIV/AIDS model with treatment under regime switching ⋮ Unnamed Item ⋮ Hopf bifurcation and stability of periodic solutions for delay differential model of HIV infection of CD4 T-cells ⋮ The threshold of a stochastic SIS epidemic model with imperfect vaccination ⋮ Modeling and stability analysis of HIV-1 as a time delay fuzzy T-S system via LMIs ⋮ Dynamics of an SVEIRS epidemic model with vaccination and saturated incidence rate ⋮ The asymptotic behavior of a stochastic vaccination model with backward bifurcation ⋮ Traveling waves of a delayed HIV/AIDS epidemic model with treatment and spatial diffusion

Cites Work

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• Stability analysis of a time delayed SIR epidemic model with nonlinear incidence rate
• Stability analysis of an HIV/AIDS epidemic model with treatment
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• Introduction to functional differential equations
• A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters

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