Hopf bifurcation and stability of periodic solutions for delay differential model of HIV infection of CD4 T-cells
From MaRDI portal
Publication:1725102
DOI10.1155/2014/838396zbMath1474.92060OpenAlexW2017738808WikidataQ59041929 ScholiaQ59041929MaRDI QIDQ1725102
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/838396
Epidemiology (92D30) Dynamical systems in biology (37N25) Stability theory of functional-differential equations (34K20) Medical epidemiology (92C60)
Related Items
The impact of time delay in the transmission of Japanese encephalitis without vaccination ⋮ Analysis of time delay model for drug therapy on HIV dynamics ⋮ Threshold dynamics of an HIV-1 model with both virus-to-cell and cell-to-cell transmissions, immune responses, and three delays ⋮ Dynamical analysis of antigen-driven t-cell infection model with multiple delays
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Global stability for an HIV-1 infection model with Beddington-DeAngelis incidence rate and CTL immune response
- Viral dynamics model with CTL immune response incorporating antiretroviral therapy
- Stability and Hopf bifurcation in a viral infection model with nonlinear incidence rate and delayed immune response
- Role of \(CD4^{+}\) T-cell proliferation in HIV infection under antiretroviral therapy
- Hopf bifurcation analysis of integro-differential equation with unbounded delay
- Impact of intracellular delay, immune activation delay and nonlinear incidence on viral dynamics
- Delay differential equations: with applications in population dynamics
- Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune response
- Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response
- Influence of delayed viral production on viral dynamics in HIV-1 infected patients
- A time delay model of tumour-immune system interactions: global dynamics, parameter estimation, sensitivity analysis
- A novel time delayed HIV/AIDS model with vaccination \& antiretroviral therapy and its stability analysis
- Dynamics of a viral infection model with delayed CTL response and immune circadian rhythm
- Dynamics analysis of a delayed viral infection model with logistic growth and immune impairment
- Stability and Hopf bifurcation for a virus infection model with delayed humoral immunity response
- Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity
- Absolute stability and Hopf bifurcation in a \textit{Plasmodium falciparum} malaria model incorporating discrete immune response delay
- Delay differential model for tumour–immune dynamics with HIV infection of CD4+T-cells
- GLOBAL DYNAMICS OF AN IN-HOST HIV-1 INFECTION MODEL WITH THE LONG-LIVED INFECTED CELLS AND FOUR INTRACELLULAR DELAYS
- Numerical Treatments for Volterra Delay Integro-differential Equations
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Solving DDEs in Matlab
