Found 151 Documents (Results 1–100)
Analysis of equilibria and connecting orbits in a nonlinear viral infection model. (English) Zbl 07873806
Global properties of SARS-CoV-2 and IAV coinfection model with distributed-time delays and humoral immunity. (English) Zbl 07872031
Stationary distribution and near-optimal control of a stochastic reaction-diffusion HIV model. (English) Zbl 07861254
An optimal combination of antiretroviral treatment and immunotherapy for controlling HIV infection. (English) Zbl 1540.92070
Viral infection dynamics with immune chemokines and CTL mobility modulated by the infected cell density. (English) Zbl 1536.35077
Dynamic behavior of a general stochastic HIV model with virus-to-cell infection, cell-to-cell transmission, immune response and distributed delays. (English) Zbl 1543.92035
Global threshold dynamics of an infection age-space structured HIV infection model with Neumann boundary condition. (English) Zbl 1522.35523
The existence of periodic solutions for second-order delay differential systems. (English) Zbl 1531.34060
Reviewer: Anatoli F. Ivanov (Lehman)
Analysis of a stochastic HIV model with cell-to-cell transmission and Ornstein-Uhlenbeck process. (English) Zbl 1511.92079
Existence of positive periodic solutions of several types of biological models with periodic coefficients. (English) Zbl 1507.34051
Detecting and resetting tipping points to create more HIV post-treatment controllers with bifurcation and sensitivity analysis. (English) Zbl 07906261
Fractional-calculus analysis of human immunodeficiency virus and CD\(4^+\)T-cells with control interventions. (English) Zbl 1516.92019
An optimal control strategy for antiretroviral treatment of HIV infection in presence of immunotherapy. (English) Zbl 1494.37056
Reviewer: Hongying Shu (Xi’an)
The effects of delay and impulsive drug therapy in an HIV model with CTLs immune response. (English) Zbl 07905120
Stability of a general adaptive immunity HIV infection model with silent infected cell-to-cell spread. (English) Zbl 1498.92112
Modeling the cell-to-cell transmission dynamics of viral infection under the exposure of non-cytolytic cure. (English) Zbl 1478.92045
Stability dynamics of a delayed generalized chikungunya virus infection model. (English) Zbl 1475.92142
Mathematical analysis of the global dynamics model for HIV infection of CD4\(^+\) T cells with treatment using Adomian decomposition approach. (English) Zbl 1483.37108
Virus dynamic behavior of a stochastic HIV/AIDS infection model including two kinds of target cell infections and CTL immune responses. (English) Zbl 1540.92071
A diffusive virus model with a fixed intracellular delay and combined drug treatments. (English) Zbl 1477.35288
Global properties of an age-structured virus model with saturated antibody-immune response, multi-target cells, and general incidence rate. (English) Zbl 1464.35353
Global analysis of the dynamics of a mathematical model to intermittent HIV treatment. (English) Zbl 1516.37139
Stability of a discrete-time general delayed viral model with antibody and cell-mediated immune responses. (English) Zbl 1487.92010
Dynamics analysis of a delayed virus model with two different transmission methods and treatments. (English) Zbl 1487.92057
Threshold dynamics and threshold analysis of HIV infection model with treatment. (English) Zbl 1486.92213
Global stability of discrete pathogen infection model with humoral immunity and cell-to-cell transmission. (English) Zbl 1489.92091
Analysis of a multiscale HIV-1 model coupling within-host viral dynamics and between-host transmission dynamics. (English) Zbl 1485.92170
Reviewer: Yuriy V. Rogovchenko (Kristiansand)
Bistable dynamics and Hopf bifurcation in a refined model of early stage HIV infection. (English) Zbl 1444.37080
Study of public health education effect on spread of HIV infection in a density-dependent transmission model. (English) Zbl 1508.37117
Viral diffusion and cell-to-cell transmission: mathematical analysis and simulation study. (English. French summary) Zbl 1445.35212
Threshold dynamics of a delayed nonlocal reaction-diffusion HIV infection model with both cell-free and cell-to-cell transmissions. (English) Zbl 1439.37086
Dynamics of two time delays differential equation model to HIV latent infection. (English) Zbl 07562382
Global properties of saturated chikungunya virus dynamics models with cellular infection and delays. (English) Zbl 1487.92040
Stability of discrete-time HIV dynamics models with three categories of infected CD \(4^+\) T-cells. (English) Zbl 1485.92124
Fast consensus in a large-scale multi-agent system with directed graphs using time-delayed measurements. (English) Zbl 1462.93002
Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2153, Article ID 20180130, 14 p. (2019).
A dynamics stochastic model with HIV infection of CD4\(^+\) T-cells driven by Lévy noise. (English) Zbl 1448.92126
Modeling the effect of non-cytolytic immune response on viral infection dynamics in the presence of humoral immunity. (English) Zbl 1430.92096
Dynamic analysis of a fractional-order model for hepatitis B virus with Holling II functional response. (English) Zbl 1429.92137
Stability analysis of a general discrete-time pathogen infection model with humoral immunity. (English) Zbl 1423.39024
Spatial and temporal dynamics of a viral infection model with two nonlocal effects. (English) Zbl 1420.92114
Global stability and optimal control for a hepatitis B virus infection model with immune response and drug therapy. (English) Zbl 1419.37087
Existence of order-1 periodic solutions for a viral infection model with state-dependent impulsive control. (English) Zbl 1458.37105
Modelling a stochastic HIV model with logistic target cell growth and nonlinear immune response function. (English) Zbl 1514.92063
Global dynamics of a virus-immune system with virus-guided therapy and saturation growth of virus. (English) Zbl 1427.92063
Analysis and control of an age-structured HIV-1 epidemic model with different transmission mechanisms. (English) Zbl 1445.92281
Impacts of the cell-free and cell-to-cell infection modes on viral dynamics. (English) Zbl 1401.37097
Hopf bifurcation of an age-structured virus infection model. (English) Zbl 1401.37095
Reviewer: Fatima T. Adylova (Tashkent)
Mathematical analysis for a multi-group SEIR epidemic model with age-dependent relapse. (English) Zbl 1394.35522
Dynamics of an HBV/HCV infection model with intracellular delay and cell proliferation. (English) Zbl 1473.92044
Global stability of a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response. (English) Zbl 1444.37072
Global properties of a HBV infection model with HBV DNA-containing capsids and CTL immune response. (English) Zbl 1397.92656
Dynamics of cytotoxic T-lymphocytes and helper cells in human immunodeficiency virus infection with Hill-type infection rate and sigmoidal CTL expansion. (English) Zbl 1375.92026
Global dynamics of an age-structured HIV infection model incorporating latency and cell-to-cell transmission. (English) Zbl 1371.92131
Global dynamics for a live-virus-blood model with distributed time delay. (English) Zbl 1404.37117
Reviewer: Xinyu Song (Xinyang)
Global properties for an age-structured within-host model with Crowley-Martin functional response. (English) Zbl 1360.37185
Reviewer: Carlo Laing (Auckland)
A note on the global properties of an age-structured viral dynamic model with multiple target cell populations. (English) Zbl 1382.37104
Dynamics of a diffusive age-structured HBV model with saturating incidence. (English) Zbl 1353.35290
A model of infectious salmon anemia virus with viral diffusion between wild and farmed patches. (English) Zbl 1369.37089
Reviewer: Angela Slavova (Sofia)
Sufficient conditions for the existence of periodic solutions of the extended Duffing-Van der Pol oscillator. (English) Zbl 1348.34078
Reviewer: Mohsen Timoumi (Monastir)
Global behavior of delay differential equations model of HIV infection with apoptosis. (English) Zbl 1362.37163
Reviewer: Carlo Laing (Auckland)
Stochastic dynamics of HIV models with switching parameters and pulse control. (English) Zbl 1395.92171
Bifurcation analysis of a mathematical model for genetic regulatory network with time delays. (English) Zbl 1410.37086
Stability and Hopf bifurcation in a delayed viral infection model with mitosis transmission. (English) Zbl 1390.34210
Analysis of an HIV infection model with logistic target-cell growth and cell-to-cell transmission. (English) Zbl 1355.34109
Stability and multi-parametric Hopf bifurcation analyses of viral infection model with time delay. (English) Zbl 1323.34083
Modeling the effect of mutual interference in a delay-induced predator-prey system. (English) Zbl 1358.37126
The stability analysis of a general viral infection model with distributed delays and multi-staged infected progression. (English) Zbl 1304.92116
Hopf bifurcation and stability of periodic solutions for delay differential model of HIV infection of CD4 T-cells. (English) Zbl 1474.92060
Modeling dynamics of HIV infected cells using stochastic cellular automaton. (English) Zbl 1395.92161
Global stability of an SVEIR epidemic model with ages of vaccination and latency. (English) Zbl 1369.92117
Global stability and Hopf bifurcation of an HIV-1 infection model with saturation incidence and delayed CTL immune response. (English) Zbl 1334.92241
Stability and bifurcation in a two variable delay model for circadian rhythm of Neurospora crassa. (English) Zbl 1308.92014
Global analysis of within host virus models with cell-to-cell viral transmission. (English) Zbl 1330.37076
Periodic solutions of delay differential systems via Hamiltonian systems. (English) Zbl 1298.34131
Reviewer: Ioan Bucataru (Iaşi)
Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model. (English) Zbl 1280.92027
Saturation effects for CTL mediated control of HIV-1 infection: a mathematical study. (English) Zbl 1296.92127
Dynamics of a viral infection model with delayed CTL response and immune circadian rhythm. (English) Zbl 1258.92020
A model for coupling within-host and between-host dynamics in an infectious disease. (English) Zbl 1254.92077
Global properties of a class of virus infection models with multitarget cells. (English) Zbl 1254.92064
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