Found 189 Documents (Results 1–100)
Mathematical modeling and numerical analysis of HIV-1 infection with long-lived infected cells during combination therapy and humoral immunity. (English) Zbl 07914714
Mondaini, Rubem P. (ed.), Trends in biomathematics: modeling epidemiological, neuronal, and social dynamics. Selected works from the BIOMAT consortium lectures, Rio de Janeiro, Brazil, virtual, November 7–11, 2022. Cham: Springer. 99-123 (2023).
Critical multitype branching processes on a graph and the model of the HIV infection development. (English) Zbl 1542.92177
Stability, Hopf bifurcation and numerical simulation of an HIV model with two modes of transmission and with cellular and humoral immunity. (English) Zbl 1539.92036
Bayesian variable selection using Knockoffs with applications to genomics. (English) Zbl 07800940
MSC:
62-08
Analytical and numerical study of the HIV-1 infection of \(\mathrm{CD}4^+\) T-cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral drug therapy. (English) Zbl 1531.92070
Mathematical modelling of HIV-1 transcription inhibition: a comparative study between optimal control and impulsive approach. (English) Zbl 1538.92051
Threshold dynamics of an HIV-1 model with both virus-to-cell and cell-to-cell transmissions, immune responses, and three delays. (English) Zbl 07702448
Numerical simulation of dynamics of T-lymphocytes population in the lymph node. (Russian. English summary) Zbl 1543.92018
Sib. Zh. Ind. Mat. 25, No. 4, 136-152 (2022); translation in J. Appl. Ind. Math. 16, No. 4, 737-750 (2022).
Stability and bifurcation analysis of a fractional-order model of cell-to-cell spread of HIV-1 with a discrete time delay. (English) Zbl 1530.92199
Behavior change a virus-resistant HIV-1 mathematical model. (Russian. English summary) Zbl 1511.92082
MSC:
92D30
Stability analysis, Hopf bifurcation and drug therapy control of an HIV viral infection model with logistic growth rate and cell-to-cell and cell-free transmissions. (English) Zbl 1500.92051
Bessel-quasilinearization technique to solve the fractional-order HIV-1 infection of CD\(4^+\) T-cells considering the impact of antiviral drug treatment. (English) Zbl 1510.92125
MSC:
92C60
Stability and Hopf bifurcation of HIV-1 model with Holling II infection rate and immune delay. (English) Zbl 1497.92272
Reviewer: Paul Georgescu (Iaşi)
Maternal embryonic leucine zipper kinase (MELK) optimally regulates the HIV-1 uncoating process. (English) Zbl 1491.92043
Stochastic investigation of HIV infection and the emergence of drug resistance. (English) Zbl 1489.92096
Application of differential equations with variable delay in the compartmental models of living systems. (Russian. English summary) Zbl 1511.92085
Sib. Zh. Ind. Mat. 24, No. 3, 55-73 (2021); translation in J. Appl. Ind. Math. 15, No. 3, 466-482 (2021).
Effect of innate and adaptive immune mechanisms on treatment regimens in an AIDS-related Kaposi’s Sarcoma model. (English) Zbl 1484.92020
Optimal control of double delayed HIV-1 infection model of fighting a virus with another virus. (English) Zbl 1499.92016
Numerical modelling of the transition of infected cells and virions between two lymph nodes in a stochastic model of HIV-1 infection. (English) Zbl 1493.65015
Modeling the cell-to-cell transmission dynamics of viral infection under the exposure of non-cytolytic cure. (English) Zbl 1478.92045
An in-host HIV-1 infection model incorporating quiescent and activated \(\mathrm{CD}4^+\) T cells as well as CTL response. (English) Zbl 1510.92075
Direct statistical modeling of HIV-1 infection based on a non-Markovian stochastic model. (English. Russian original) Zbl 1471.92289
Comput. Math. Math. Phys. 61, No. 8, 1229-1251 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 8, 1245-1268 (2021).
Numerical solution of fractional model of HIV-1 infection in framework of different fractional derivatives. (English) Zbl 1469.92004
Modeling the effects of latency reversing drugs during HIV-1 and SIV brain infection with implications for the “shock and kill” strategy. (English) Zbl 1460.92101
MSC:
92C50
Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells. (English) Zbl 1495.92036
Hopf bifurcation of an HIV-1 virus model with two delays and logistic growth. (English) Zbl 1469.92126
Optimal control and Hopf bifurcation analysis of delay dependent HIV protease inhibitor model. (English) Zbl 1466.92030
Investigating the effect of pyroptosis on the slow CD4+ T cell depletion in HIV-1 infection, by dynamical analysis of its discontinuous mathematical model. (English) Zbl 1461.92018
Reviewer: Fatima T. Adylova (Tashkent)
Quantifying the antiviral effect of APOBEC3 on HIV-1 infection in humanized mouse model. (English) Zbl 1455.92029
MSC:
92C32
Stability analysis of delay integro-differential equations of HIV-1 infection model. (English) Zbl 1448.92270
Viral dynamics of delayed CTL-inclusive HIV-1 infection model with both virus-to-cell and cell-to-cell transmissions. (English) Zbl 1448.34155
Asymptotic and stability dynamics of an HIV-1-cytotoxic T lymphocytes (CTL) chemotaxis model. (English) Zbl 1439.35049
Stationary distribution and extinction of a stochastic HIV-1 infection model with distributed delay and logistic growth. (English) Zbl 1435.34084
Hopf bifurcation in a CTL-inclusive HIV-1 infection model with two time delays. (English) Zbl 1501.92200
Optimal control in HIV chemotherapy with termination viral load and latent reservoir. (English) Zbl 1497.92127
Threshold dynamics of an HIV-1 model with both viral and cellular infections, cell-mediated and humoral immune responses. (English) Zbl 1497.92058
Viral dynamic model with cellular immune response: a case study of HIV-1 infected humanized mice. (English) Zbl 07563829
A class of delayed HIV-1 infection models with latently infected cells. (Chinese. English summary) Zbl 1449.92050
Stochastic analog of the dynamic model of HIV-1 infection described by delay differential equations. (Russian, English) Zbl 1438.34305
Sib. Zh. Ind. Mat. 22, No. 1, 74-89 (2019); translation in J. Appl. Ind. Math. 13, No. 1, 103-117 (2019).
Dynamical analysis of antigen-driven t-cell infection model with multiple delays. (English) Zbl 1428.92073
A new model system for exploring assembly mechanisms of the HIV-1 immature capsid in vivo. (English) Zbl 1415.92119
MSC:
92C99
The fractional differential model of HIV-1 infection of CD4\(^+\) T-cells with description of the effect of antiviral drug treatment. (English) Zbl 1423.92235
Stationary distribution and extinction of a stochastic HIV-1 model with Beddington-DeAngelis infection rate. (English) Zbl 1514.92145
An age-structured within-host HIV-1 infection model with virus-to-cell and cell-to-cell transmissions. (English) Zbl 1448.92358
The threshold for a stochastic HIV-1 infection model with Beddington-DeAngelis incidence rate. (English) Zbl 1480.92199
A delayed model of HIV-1 with cell-to-cell and virus-to-cell transmissions. (English) Zbl 1424.34287
Dynamics of HIV-1 coinfection in different susceptible target cell populations during cell-free infection. (English) Zbl 1406.92579
MSC:
92D30
Estimating the domain of attraction of HIV-1 system based on moment method. (English) Zbl 1401.92192
The modeling dynamics of HIV and CD4\(^{+}\) T-cells during primary infection in fractional order: numerical simulation. (English) Zbl 1395.65130
On how role versatility boosts an STI. (English) Zbl 1400.92470
MSC:
92D30
Optimal homotopy analysis of a chaotic HIV-1 model incorporating AIDS-related cancer cells. (English) Zbl 1384.92043
Asymptotic behavior of a stochastic delayed HIV-1 infection model with nonlinear incidence. (English) Zbl 1499.92120
Mathematical analysis of delayed HIV-1 infection model for the competition of two viruses. (English) Zbl 1438.92078
Dynamics of a stochastic HIV-1 infection model with logistic growth. (English) Zbl 1400.92502
MSC:
92D30
Asymptotic behaviors of a cell-to-cell HIV-1 infection model perturbed by white noise. (English) Zbl 1400.92514
Optimal control of HIV-1 infection model with logistic growth using discrete delay. (English) Zbl 1375.49003
Stability of HIV-1 infection with saturated virus-target and infected-target incidences and CTL immune response. (English) Zbl 1367.34098
A model incorporating combined RTIs and PIs therapy during early HIV-1 infection. (English) Zbl 1361.92039
Stability and Hopf bifurcation in a HIV-1 infection model with delays and logistic growth. (English) Zbl 1540.92197
Bifurcation analysis of macrophages infection model with delayed immune response. (English) Zbl 1510.92124
MSC:
92C60
Threshold dynamics of HIV-1 virus model with cell-to-cell transmission, cell-mediated immune responses and distributed delay. (English) Zbl 1410.92138
MSC:
92D30
Estimation of the HIV-1 backward mutation rate from transmitted drug-resistant strains. (English) Zbl 1367.92076
Hopf bifurcation analysis in an HIV-1 infection model with delays and Logistic growth. (Chinese. English summary) Zbl 1374.34324
Global stability of an HIV-1 epidemic model with time delay and saturation incidence rate. (Chinese. English summary) Zbl 1374.34344
Dynamics of a delayed HIV-1 infection model with saturation incidence rate and CTL immune response. (English) Zbl 1357.34131
Stochastic modelling of the eradication of the HIV-1 infection by stimulation of latently infected cells in patients under highly active anti-retroviral therapy. (English) Zbl 1360.92061
A reaction diffusion system modeling virus dynamics and CTLs response with chemotaxis. (English) Zbl 1347.35131
Analysis of stability and Hopf bifurcation for HIV-1 dynamics with PI and three intracellular delays. (English) Zbl 1331.34158
Joint modeling of correlated binary outcomes: HIV-1 and HSV-2 co-infection. (English) Zbl 1514.62583
MSC:
62-XX
Modeling and stability analysis of HIV-1 as a time delay fuzzy T-S system via LMIs. (English) Zbl 1443.92006
Global dynamics of a class of HIV-1 infection models with latently infected cells. (English) Zbl 1416.92172
A nonstandard finite difference scheme for solving fractional-order model of HIV-1 infection of \(\mathrm{CD}4^+\) T-cells. (English) Zbl 1367.92069
The stability of an HIV-1 model with time delay and cell mediated immunity. (Chinese. English summary) Zbl 1363.34279
Stability and Hopf bifurcation analysis of immune response delayed HIV type 1 infection model with two target cells. (English) Zbl 1336.34113
Stability and multi-parametric Hopf bifurcation analyses of viral infection model with time delay. (English) Zbl 1323.34083
Global stability of an infection-age structured HIV-1 model linking within-host and between-host dynamics. (English) Zbl 1371.92130
Modeling interactions between \(\mathrm{C}_{60}\) antiviral compounds and HIV protease. (English) Zbl 1334.92165
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