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A finite-difference discretization preserving the structure of solutions of a diffusive model of type-1 human immunodeficiency virus
We investigate a model of spatio-temporal spreading of human immunodeficiency virus HIV-1. The mathematical model considers the presence of various...
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Behavior of Trajectories of a Four-Dimensional Model of HIV Infection
AbstractA model of interaction between the human immunodeficiency virus and the human immune system is considered. Equilibria in the state space of...
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Dynamics of a stochastic and periodic virus model with Beddington-DeAngelis functional response
We consider a periodic virus model with Beddington-DeAngelis functional responses, which is assumed that not only the death rate of the uninfected,...
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The Impact of Pre-exposure Prophylaxis for Human Immunodeficiency Virus on Gonorrhea Prevalence
Pre-exposure prophylaxis (PrEP) has been shown to be highly effective in reducing the risk of HIV infection in gay and bisexual men who have sex with...
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Complex Dynamics for an Immunosuppressive Infection Model with Virus Stimulation Delay and Nonlinear Immune Expansion
This work brings nonlinear Beddington–DeAngelis immune expansion and virus stimulation delay into a classical immunosuppressive infection model...
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A novel stochastic Hepatitis B virus epidemic model with second-order multiplicative α-stable noise and real data
This work presents an advanced and detailed analysis of the mechanisms of hepatitis B virus (HBV) propagation in an environment characterized by...
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Modelling Role of Protective and Nonprotective HLA Allele Inducing Different HIV Infection Outcomes
Human immunodeficiency virus (HIV) infects CD4+ cells and causes progressive immune function failure, and CD8+ cells lyse infected CD4+ cell via...
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Dynamic Behavior of a General Stochastic HIV Model with Virus-to-Cell Infection, Cell-to-Cell Transmission, Immune Response and Distributed Delays
In this paper, we construct a general four-dimensional delayed HIV infection model with virus-to-cell infection, cell-to-cell transmission, CTL...
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Global dynamics of a delayed latent virus model with both virus-to-cell and cell-to-cell transmissions and humoral immunity
In this paper, the dynamical behaviors for multiple delayed latent virus model with virus-to-cell infection and cell-to-cell transmissions and...
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Global properties of an age-structured virus model with saturated antibody-immune response, multi-target cells, and general incidence rate
Some viruses, such as human immunodeficiency virus, can infect several types of cell populations. The age of infection can also affect the dynamics...
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A diffusive virus model with a fixed intracellular delay and combined drug treatments
The method of administration of an effective drug treatment to eradicate viruses within a host is an important issue in studying viral dynamics....
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Modeling Antiretrovial Treatment to Mitigate HIV in the Brain: Impact of the Blood-Brain Barrier
Current research in Human Immunodeficiency Virus (HIV) focuses on eradicating virus reservoirs that prevent or dampen the effectiveness of...
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Discrete-Time System of an Intracellular Delayed HIV Model with CTL Immune Response
In [Math. Comput. Sci. 12 (2018), no. 2, 111–127], a delayed model describing the dynamics of the Human Immunodeficiency Virus (HIV) with Cytotoxic T...
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Computational Modeling of Viral Infection and Immune Response in COVID-19 Patients
In December 2019, a novel coronavirus known as SARS-CoV-2 emerged in China and rapidly spread worldwide, resulting in a global pandemic with a...
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Quantitative Assessment of a Dual Epidemic Caused by Tuberculosis and HIV in the Philippines
Tuberculosis (TB) and human immunodeficiency virus (HIV) are the two major public health emergencies in the Philippines. The country is ranked fourth...
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Optimal control using linear feedback control and neutralizing antibodies for an HIV model with dynamical analysis
HIV (human immunodeficiency virus) is a dangerous virus that constantly diminishes an individual’s immune system by explicitly targeting CD4 cells,...
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Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear
Stapes fracture causes hearing loss and instability in the middle ear hearing system (MEHS). The material used in the stapes reconstruction restores...
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Mathematical Analysis and Sensitivity Assessment of HIV/AIDS-Listeriosis Co-infection Dynamics
Epidemiologically, co-infection is the simultaneous infection of a host by multiple pathogen species such as viruses, bacteria, or fungi. In this...
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Modeling the Effects of Latency Reversing Drugs During HIV-1 and SIV Brain Infection with Implications for the “Shock and Kill” Strategy
Combination antiretroviral therapy (cART) has greatly increased life expectancy for human immunodeficiency virus-1 (HIV-1)-infected patients. Even...
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Mathematical modelling of HIV-1 transcription inhibition: a comparative study between optimal control and impulsive approach
Through the utilization of a proactive approach, interaction with human immunodeficiency virus type I (HIV-1) is facilitated, enabling the sequential...
