Complete dynamical analysis for a nonlinear HTLV-I infection model with distributed delay, CTL response and immune impairment.
L Wang, Z Liu, Y Li, D Xu - Discrete & Continuous Dynamical …, 2020 - search.ebscohost.com
… dynamics of an HTLV-I infection model with intracellular distributed delay, nonlinear
incidence rate, nonlinear L-CTL and NL-CTL responses and immune impairment, which reads …
incidence rate, nonlinear L-CTL and NL-CTL responses and immune impairment, which reads …
[HTML][HTML] Spatiotemporal dynamics of a generalized viral infection model with distributed delays and CTL immune response
K Hattaf - Computation, 2019 - mdpi.com
… In this paper, we propose and investigate a diffusive viral infection model with distributed
delays and cytotoxic T lymphocyte (CTL) immune response. Also, both routes of infection that …
delays and cytotoxic T lymphocyte (CTL) immune response. Also, both routes of infection that …
Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay
… 0 , the CTL-inactivated equilibrium E 1 is locally and globally asymptotically stable, and
the infection becomes chronic but without persistent CTLs response. If ℜ 1 > 1, the CTL-activated …
the infection becomes chronic but without persistent CTLs response. If ℜ 1 > 1, the CTL-activated …
Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses
… of the CTLs, we let f3(τ) be the distribution of delays between cell encounters and
subsequent recruitment. Then the rate of CTLs proliferation at time t is given by the convolution …
subsequent recruitment. Then the rate of CTLs proliferation at time t is given by the convolution …
[PDF][PDF] Viral dynamics of an HIV stochastic model with cell-to-cell infection, CTL immune response and distributed delays
Y Wang, T Zhao, J Liu - Math. Biosci. Eng, 2019 - aimspress.com
… For stochastic differential equation system with distributed delays, we need to prove the
existence of stationary Markov process. Firstly, we introduce some knowledge about stochastic …
existence of stationary Markov process. Firstly, we introduce some knowledge about stochastic …
Global threshold dynamics in a five-dimensional virus model with cell-mediated, humoral immune responses and distributed delays
… Thus, delays should be incorporated into the infection … of intracellular delay which leads to
mathematical models by delay … of viral dynamics with CTL immune response in the literature, …
mathematical models by delay … of viral dynamics with CTL immune response in the literature, …
[HTML][HTML] Stability of CTL immunity pathogen dynamics model with capsids and distributed delay
AM Elaiw, NH Alshamrani, AS Alofi - AIP Advances, 2017 - pubs.aip.org
In this paper, a pathogen dynamics model with capsids and saturated incidence has been
proposed and analyzed. Cytotoxic T Lymphocyte (CTL) immune response and two distributed …
proposed and analyzed. Cytotoxic T Lymphocyte (CTL) immune response and two distributed …
[PDF][PDF] Stability of delay-distributed virus dynamics model with cell-to-cell transmission and CTL immune response
… to model the CTL immune response to several … delay-distributed virus dynamics model
with virus-to-cell and cell-to-cell transmissions and takes into account the CTL immune response…
with virus-to-cell and cell-to-cell transmissions and takes into account the CTL immune response…
Stability of a delay-distributed HIV infection model with silent infected cell-to-cell spread and CTL-mediated immunity
… We formulate a distributed delay HIV infection model with CTL-mediated immunity. We
assume that the HIV virions can replicate by two mechanisms VTC and CTC transmissions. The …
assume that the HIV virions can replicate by two mechanisms VTC and CTC transmissions. The …
Global dynamics of a cell mediated immunity in viral infection models with distributed delays
Y Nakata - Journal of Mathematical Analysis and Applications, 2011 - Elsevier
… The model has two distributed time delays describing time needed for infection of cell …
response depending on the basic reproduction number for viral infection R0 and for CTL response …
response depending on the basic reproduction number for viral infection R0 and for CTL response …
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