Stability and Hopf bifurcation of an HIV infection model with saturation incidence and two delays

DOI10.3934/dcdsb.2017121zbMath1364.34119OpenAlexW2599318804MaRDI QIDQ521508

Chengjun Kang, Hui Miao, Zhi-Dong Teng

Publication date: 11 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017121

zbMATH Keywords

stabilitydelayHopf bifurcationLyapunov functionalCTL immune responseviral infection model

Mathematics Subject Classification ID

Medical applications (general) (92C50) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Medical epidemiology (92C60)

Related Items

Stability and Hopf bifurcation of a CTL-inclusive HIV-1 infection model with both viral and cellular infections, and three delays, Delay-induced bifurcations and chaos in a two-dimensional model for the immune response, Global dynamics of a reaction-diffusion virus infection model with humoral immunity and nonlinear incidence, Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters, Global dynamics for a drug-sensitive and drug-resistant mixed strains of HIV infection model with saturated incidence and distributed delays, Global dynamics of a latent HIV infection model with general incidence function and multiple delays, Review of stability and stabilization for impulsive delayed systems, Global dynamics in a reaction-diffusion multi-group SIR epidemic model with nonlinear incidence

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