The stability and Hopf bifurcation for an HIV model with saturated infection rate and double delays

DOI10.1142/S1793524518500407zbMath1385.92051WikidataQ130105429 ScholiaQ130105429MaRDI QIDQ4636792

Zhixing Hu, Ying Lv, Fucheng Liao

Publication date: 20 April 2018

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationglobally asymptotical stabilitydouble delayslocally asymptotical stability

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18) Medical epidemiology (92C60)

Related Items (3)

Hopf bifurcation analysis of nonlinear HIV infection model and the effect of delayed immune response with drug therapies ⋮ Dynamical analysis of antigen-driven t-cell infection model with multiple delays ⋮ Bifurcation and optimal control analysis of delayed models for huanglongbing

Cites Work

• Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response
• Stability and Hopf bifurcation in a viral infection model with nonlinear incidence rate and delayed immune response
• Analysis of an HIV/AIDS treatment model with a nonlinear incidence
• Stability and Hopf bifurcation in a delayed model for HIV infection of CD\(4^+\) T cells
• Global stability of an HIV pathogenesis model with cure rate
• The trade-off between mutual interference and time lags in predator-prey systems
• Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
• Global stability and periodic solution of the viral dynamics
• Stability analysis of an HIV/AIDS epidemic model with treatment
• Complete global stability for an SIR epidemic model with delay - distributed or discrete
• Introduction to functional differential equations
• Analysis of an HIV infection model with treatments and delayed immune response
• A differential equation model of HIV infection of CD4\(^+\) \(T\)-cells with cure rate
• On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays
• Stability and bifurcation in a simplified four-neuron bam neural network with multiple delays

This page was built for publication: The stability and Hopf bifurcation for an HIV model with saturated infection rate and double delays