Found 607 Documents (Results 1–100)
On drug therapy for an HIV infection age model with cellular and immune delays. (English) Zbl 07907918
Threshold dynamics of a diffusive HIV infection model with infection-age, latency and cell-cell transmission. (English) Zbl 1542.92168
Dynamic analysis of HIV infection model with CTL immune response and cell-to-cell transmission. (English) Zbl 07888240
Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence. (English) Zbl 07887620
Optimal control of a multi-scale HIV-opioid model. (English) Zbl 07880598
Reviewer: Yilun Shang (Newcastle upon Tyne)
Addressing multiple detection limits with semiparametric cumulative probability models. (English) Zbl 07877126
MSC:
62-XX
On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative. (English) Zbl 1540.92253
Stationary distribution and near-optimal control of a stochastic reaction-diffusion HIV model. (English) Zbl 07861254
Numerical analysis of age-structured HIV model with general transmission mechanism. (English) Zbl 07853277
Significant parameters in the HIV/AIDS transmission and control optimal problem. (English) Zbl 07851855
Mathematical analysis for an age-space structured HIV model with latency. (English) Zbl 1540.92263
MSC:
92D30
Application of fuzzy ABC fractional differential equations in infectious diseases. (English) Zbl 1539.37100
A stochastic HIV/HTLV-I co-infection model incorporating the AIDS-related cancer cells. (English) Zbl 1528.92043
Critical multitype branching processes on a graph and the model of the HIV infection development. (English) Zbl 1542.92177
HIV models with non-exponential probability distributed infection progression. (English) Zbl 1536.92154
Stability and optimal control of age-structured cell-free and cell-to-cell transmission model of HIV. (English) Zbl 1534.92043
Bayesian variable selection using Knockoffs with applications to genomics. (English) Zbl 07800940
MSC:
62-08
Estimating HIV epidemics for subnational areas. (English) Zbl 07789392
MSC:
62Pxx
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
Solving FDE by trigonometric neural network and its applications in simulating fractional HIV model and fractional Schrodinger equation. (English) Zbl 07781843
Impact of nonlinear infection rate on HIV/AIDS considering prevalence-dependent awareness. (English) Zbl 1530.92251
Mathematical modelling of HIV-1 transcription inhibition: a comparative study between optimal control and impulsive approach. (English) Zbl 1538.92051
Model selection and identifiability analysis of HIV and SARS-CoV-2 co-infection model with drug therapy. (English) Zbl 1529.92031
MSC:
92C60
The impact of nonlinear stochastic perturbation on dynamical behavior of an HIV infection system. (English) Zbl 1521.92095
Global threshold dynamics of an infection age-space structured HIV infection model with Neumann boundary condition. (English) Zbl 1522.35523
Dynamics of an age-structured HIV model with general nonlinear infection rate. (English) Zbl 1519.92326
Quantitative assessment of a dual epidemic caused by tuberculosis and HIV in the Philippines. (English) Zbl 1519.92308
A simple model for viral decay dynamics and the distribution of infected cell life spans in SHIV-infected infant rhesus macaques. (English) Zbl 1518.92048
An improvement of the extinction sufficient conditions for a higher-order stochastically disturbed AIDS/HIV model. (English) Zbl 1511.60086
An HIV stochastic model with cell-to-cell infection, B-cell immune response and distributed delay. (English) Zbl 1505.92125
Towards a new combination therapy with vectored immunoprophylaxis for HIV: modeling “Shock and kill” strategy. (English) Zbl 07647180
A numerical efficient splitting method for the solution of HIV time periodic reaction-diffusion model having spatial heterogeneity. (English) Zbl 07642811
MSC:
82-XX
Virus-immune dynamics determined by prey-predator interaction network and epistasis in viral fitness landscape. (English) Zbl 1505.92148
Existence of positive periodic solutions of several types of biological models with periodic coefficients. (English) Zbl 1507.34051
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).
Optimal treatment strategies for a reaction-diffusion HIV infection model with spatial heterogeneity. (Chinese. English summary) Zbl 07801182
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
Stationary distribution, extinction and density function for a stochastic HIV model with a Hill-type infection rate and distributed delay. (English) Zbl 1512.92133
Investigation of fractal-fractional HIV infection by evaluating the drug therapy effect in the Atangana-Baleanu sense. (English) Zbl 1510.92095
Bayesian inference of a stochastic diffusion process for the dynamic of HIV in closed heterosexual population with simulations and application to Morocco case. (English) Zbl 1503.92060
Dynamical analysis and optimal control of an age-since infection HIV model at individuals and population levels. (English) Zbl 1503.92078
Bayesian approach for joint modeling longitudinal data and survival data simultaneously in public health studies. (English) Zbl 07619967
Lio, Yuhlong (ed.) et al., Bayesian inference and computation in reliability and survival analysis. Cham: Springer. Emerg. Top. Stat. Biostat., 343-355 (2022).
A mathematical model for HIV/AIDS under pre-exposure and post-exposure prophylaxis. (English) Zbl 1510.92228
A note on the propagation dynamics in a nonlocal dispersal HIV infection model. (English) Zbl 1510.37130
Reviewer: Victor I. Tkachenko (Kyïv)
Stochastic HIV model coupled with pharmacokinetics and drug adherence may explain intermittent viral blips. (English) Zbl 1497.92138
The numerical approximation to a stochastic age-structured HIV/AIDS model with nonlinear incidence rates. (English) Zbl 1492.92109
Analysing transmission dynamics of HIV/AIDS with optimal control strategy and its controlled state. (English) Zbl 1497.92314
Global threshold dynamics and finite-time contraction stability for age-structured HIV models with delay. (English) Zbl 1497.92260
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
Qualitative analysis of an HIV/AIDS model with treatment and nonlinear perturbation. (English) Zbl 1500.34039
Designing of Morlet wavelet as a neural network for a novel prevention category in the HIV system. (English) Zbl 1492.92111
Dynamics of a stochastic HIV/AIDS model with treatment under regime switching. (English) Zbl 1500.34040
Global dynamics of an age-structured model for HIV viral dynamics with latently infected T cells. (English) Zbl 1540.92079
Dynamics of a stochastic SICA epidemic model for HIV transmission with higher-order perturbation. (English) Zbl 1491.92116
Immuno-epidemiological co-affection model of HIV infection and opioid addiction. (English) Zbl 1489.92154
A delayed HIV infection model with the homeostatic proliferation of CD\(4^+\) T cells. (English) Zbl 1486.92048
Mathematical analysis of an age-structured HIV model with intracellular delay. (English) Zbl 1486.92301
Stability and dynamic of HIV-1 mathematical model with logistic target cell growth, treatment rate, cure rate and cell-to-cell spread. (English) Zbl 1494.34121
Finite- and multi-dimensional state representations and some fundamental asymptotic properties of a family of nonlinear multi-population models for HIV/AIDS with ART treatment and distributed delays. (English) Zbl 1486.92292
Dynamics of a stochastic multigroup S-DI-A model for the transmission of HIV. (English) Zbl 1492.92099
Periodic solutions of an infected-age structured HIV model with the latent factor and different transmission modes. (English) Zbl 1486.92279
The effects of delay and impulsive drug therapy in an HIV model with CTLs immune response. (English) Zbl 07905120
HIV viral dynamic under treatment with intracellular delay and virus decay as interactive parameters articles. (English) Zbl 1530.92128
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).
A stochastic analysis of the impact of fluctuations in the environment on pre-exposure prophylaxis for HIV infection. (English) Zbl 1498.92091
Mathematical modeling of impact of eCD4-ig molecule in control and management of HIV within a host. (English) Zbl 1501.92049
Dynamical behaviour of HIV infection with the influence of variable source term through Galerkin method. (English) Zbl 1498.92053
Dynamics of two delays differential equations model of HIV pathogenesis with absorption and saturation incidence. (English) Zbl 1501.37089
Dynamics of an HIV pathogenesis model with absorption and saturation incidence. (English) Zbl 1492.37090
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
Complex fractional-order HIV diffusion model based on amplitude equations with Turing patterns and Turing instability. (English) Zbl 1481.92036
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
Trends and risk of HIV/AIDS in Turkey and its cities. (English) Zbl 1478.92195
Ashyralyev, Allaberen (ed.) et al., Functional analysis in interdisciplinary applications II. Collected papers based on the presentations at the mini-symposium, held as part of the fourth international conference on analysis and applied mathematics, ICAAM, September 6–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 351, 117-126 (2021).
MSC:
92D30
Numerical approximation of basic reproduction number for an age-structured HIV infection model with both virus-to-cell and cell-to-cell transmissions. (English) Zbl 1512.92097
Mathematical analysis of multi-target cells and multi-strain age-structured model with two HIV infection routes. (English) Zbl 1479.35896
Dynamical behavior of a stochastic multigroup staged-progression HIV model with saturated incidence rate and higher-order perturbations. (English) Zbl 1478.92207
Reducing the global HIV burden: the importance of uneven exposure to the results of HIV prevention trials. (English) Zbl 1478.92116
Teboh-Ewungkem, Miranda I. (ed.) et al., Infectious diseases and our planet. Cham: Springer. Math. Planet Earth 7, 217-239 (2021).
A stochastic age-structured HIV/AIDS model based on parameters estimation and its numerical calculation. (English) Zbl 1540.92228
Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells. (English) Zbl 1540.92242
Efficient Bayesian inference of general Gaussian models on large phylogenetic trees. (English) Zbl 1477.62308
Stationary distribution and probability density function analysis of a stochastic HIV model with cell-to-cell infection. (English) Zbl 1510.92123
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