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On analysis of fractional order HIV infection model with the adaptive immune response under Caputo operator
The present work investigates the fractional dynamics of a system concerned with the human immuno-deficiency virus (HIV) disease with cytotoxic...
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Phenomenological Models of Three Scenarios of Local SARS-COV-2 Coronavirus Epidemics in New York, Brazil, and Japan
AbstractThe COVID-19 pandemic did not end in the summer of 2023 but moved into the stage of a dynamic confrontation between a mutating pathogen and...
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Time-Adaptive Determination of Drug Efficacy in Mathematical Model of HIV Infection
The paper considers a time-adaptive finite element method for determination of drug efficacy in a parameter identification problem (PIP) for a system...
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Stability dynamics of a delayed generalized Chikungunya virus infection model
In this paper, a general nonlinear Chikungunya virus (CHIKV) dynamics model is formulated and analyzed. We assume that, the production, removal and...
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A simple in-host model for COVID-19 with treatments: model prediction and calibration
In this paper, we provide a simple ODEs model with a generic nonlinear incidence rate function and incorporate two treatments, blocking the virus...
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Modeling the effect of delay strategy on transmission dynamics of HIV/AIDS disease
In this manuscript, we investigate a nonlinear delayed model to study the dynamics of human-immunodeficiency-virus in the population. For analysis,...
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Measles Infection Dose Responses: Insights from Mathematical Modeling
AbstractHow viral infections develop can change based on the number of viruses initially entering the body. The understanding of the impacts of...
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An HIV stochastic model with cell-to-cell infection, B-cell immune response and distributed delay
In this study, a delayed HIV stochastic model with virus-to-cell infection, cell-to-cell transmission and B-cell immune response is proposed. We...
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Mathematical Study on Human Cells Interaction Dynamics for HIV-TB Co-infection
Co-infection of Tuberculosis (caused by Mycobacterium tuberculosis bacteria) and HIV (caused by Human Immunodeficiency virus) remains a global burden...
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Modeling Intracellular Delay in Within-Host HIV Dynamics Under Conditioning of Drugs of Abuse
Drugs of abuse, such as opiates, have been widely associated with the enhancement of HIV replication, the acceleration of disease progression, and...
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A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
We propose and analyze a new class of three dimensional space models that describes infectious diseases caused by viruses such as hepatitis B virus...
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An Optimal Control Strategy for Antiretroviral Treatment of HIV Infection in Presence of Immunotherapy
Human immunodeficiency virus infection destroys immune system of an HIV infected individual, which results in the risk of other life threatening...
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Stability of an HTLV-HIV coinfection model with multiple delays and CTL-mediated immunity
In the literature, several mathematical models have been formulated and developed to describe the within-host dynamics of either human...
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Optimal control of an HIV infection model with logistic growth, celluar and homural immune response, cure rate and cell-to-cell spread
In this paper, we propose an optimal control problem for an HIV infection model with cellular and humoral immune responses, logistic growth of...
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Fractional HIV infection model described by the Caputo derivative with real data
The goal of this research is to explore the HIV infection model through Caputo derivative in considerable detail. We employ a non-local fractional...
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Viral dynamics with immune responses: effects of distributed delays and Filippov antiretroviral therapy
In this paper, we propose a general viral infection model to incorporate two infection modes (virus-to-cell mode and cell-to-cell mode), the CTL...
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Stability Analysis and Uniform Persistence of the Dynamics of Cytotoxic Cells with Crowley-Martin Functional Response
The specific response of CD8 cells is a major defense of the body against viral infections. They are responsible for the destruction of infected CD4...
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Threshold dynamics and threshold analysis of HIV infection model with treatment
In this paper, a human immunodeficiency virus (HIV) infection model that includes a protease inhibitor (PI), two intracellular delays, and a general...
