Complex dynamic behavior in a viral model with delayed immune response

K Wang, W Wang, H Pang, X Liu - Physica D: Nonlinear Phenomena, 2007 - Elsevier
… in mathematical modeling of epidemic and viral dynamics (… models can be very useful in
the control of epidemic diseases, and viral models can provide insights into the dynamics of viral

[HTML][HTML] Analysis of a viral infection model with delayed immune response

Q Xie, D Huang, S Zhang, J Cao - Applied Mathematical Modelling, 2010 - Elsevier
… by virus. In this paper, we investigate the dynamical behavior of a viral infection model with
retarded immune response. The effect of time delay on stability of the equilibria of the system

Stability analysis of a delayed immune response model to viral infection

J El Karkri, F Boudchich, V Volpert… - Differential Equations and …, 2024 - Springer
… If we neglect time delay in immune response and the spatial distribution of immune cells and
viruses, then we obtain … Models taking into consideration the duration of clonal expansion of …

A continuous model of three scenarios of the infection process with delayed immune response factors

AY Perevaryukha - Biophysics, 2021 - Springer
… In the new model, transitions between phases of infectious disease depend … virus dose
and the delayed immune response to infection. A variation in the dose of the virus and response

Effects of diffusion and delayed immune response on dynamic behavior in a viral model

HY Alfifi - Applied Mathematics and Computation, 2023 - Elsevier
… diffusive viral infection system with delayed immune response in the one-domain system. A
… influence of both the diffusion and delay immune response parameters on the viral infection …

A class of delayed viral infection models with general incidence rate and adaptive immune response

K Hattaf, N Yousfi - International Journal of Dynamics and Control, 2016 - Springer
… To model the role of the adaptive immune response and take account the time delays in
cell infection and virus production, we propose the following model

[HTML][HTML] Analysis of an HIV infection model with treatments and delayed immune response

D Huang, X Zhang, Y Guo, H Wang - Applied Mathematical Modelling, 2016 - Elsevier
… compromises the host’s immune response to opportunistic infections, … model describing
the interactions between a replicating virus population and a specific antiviral CTL response

Dynamical behavior of a delay virus dynamics model with CTL immune response

X Shi, X Zhou, X Song - Nonlinear Analysis: Real World Applications, 2010 - Elsevier
… of a virus dynamics model with CTL immune response and time delay is studied. Time …
In this paper, we shall investigate the CTL model with saturation response of the infection …

[HTML][HTML] Viral dynamics of an HTLV-I infection model with intracellular delay and CTL immune response delay

Y Wang, J Liu, JM Heffernan - Journal of Mathematical Analysis and …, 2018 - Elsevier
delay. We will also investigate the impact of the immune response delay on model behaviour.
… In Section 2, we address the well-posedness of the model solutions and determine the …

Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses

H Shu, L Wang, J Watmough - SIAM Journal on Applied Mathematics, 2013 - SIAM
… particularly to models involving nonlinearity and delays. In … to immune system dynamics:
we consider a viral model with … intracellular delays, and the cytotoxic T lymphocyte response (…