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On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative
In this study, we explore a mathematical model of the transmission of HIV/AIDS. The model incorporates a fractal fractional order derivative with a...
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A Scalable Engineering Combination Therapies for Evolutionary Dynamic of Macrophages
The study of human immunodeficiency virus (HIV) has been the subject of massive scientific research in recent years. Some works have focused on the...
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Perron–Frobenius Theorem and Some Applications
The Perron–Frobenius theory of nonnegative matrices has many useful dynamical consequences, in the field of Markov shifts in particular. The math in...
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Role of the Immune System in AIDS-defining Malignancies
The Center for Disease Control and Prevention considers AIDS-defining illnesses Kaposi’s sarcoma, non-Hodgkin’s lymphoma and cervical cancer. These...
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Dynamics Analysis of a Delayed HIV Infection Model with CTL Immune Response and Antibody Immune Response
In this paper, dynamics analysis of a delayed HIV infection model with CTL immune response and antibody immune response is investigated. The model...
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Viral Immunology: Modeling and Analysis
Viral immunology is a subdiscipline of immunology which studies the interactions between viruses and immune system. The aim of this work is to model...
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Classifying literature mentions of biological pathogens as experimentally studied using natural language processing
BackgroundInformation pertaining to mechanisms, management and treatment of disease-causing pathogens including viruses and bacteria is readily...
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Three-stage modeling of HIV infection and implications for antiretroviral therapy
We consider a deterministic model of HIV infection that involves macrophages as a long-term active reservoir to describe all three stages of the...
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Optimal Drug Therapy in a Multi-Pathways HIV-1 Infection Model with Immune Response Delay
A mathematical model is critical to understanding the host-pathogen interactions. In this paper, we study a multi-pathways in-host HIV-1 infection...
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Identification of Potential Inhibitors Against SARS-CoV-2 3CLpro, PLpro, and RdRP Proteins: An In-Silico Approach
The COVID-19 pandemic is still evolving and is caused by SARS-CoV-2. Me-too drugs are chemically, structurally, or functionally similar to...
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Dynamics of a new HIV model with the activation status of infected cells
The activation status can dictate the fate of an HIV-infected CD4+ T cell. Infected cells with a low level of activation remain latent and do not...
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A Delayed HIV Infection Model with the Homeostatic Proliferation of CD4+ T Cells
In this paper, we investigate a delayed HIV infection model that considers the homeostatic proliferation of CD4 + T cells. The existence and stability...
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Interval Type-2 Fuzzy Rule-Based System Applications
Six applications of interval type-2 theory, along with their own contributions and explanations, are presented in Chap. 3. The methodology applied to...
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Introduction
Infectious diseases ranging from respiratory (influenza, common cold, tuberculosis, the respiratory syncytial virus), vector-borne (plague, malaria,...
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Beyond Trends and Patterns: Importance of the Reproduction Number from Narratives to the Dynamics of Mathematical Models
How society talks about important current affairs such as spread of black lives matter ideology, interventions to curb surge in COVID-19 infections,...
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Introduction
Two important areas of mathematics are related by modeling purposes: Biomathematics and Fuzzy Sets Theory. Both have a point in common in their...
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Analysis of Equilibrium Positions for a System that Describes the Interaction of Viruses with the Immune System
We consider a system of two differential equations with respect to the variables that describe the populations of viruses and immune cells....
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Modeling the cell-to-cell transmission dynamics of viral infection under the exposure of non-cytolytic cure
To explore the effect of direct cell-to-cell transmission on viral infection dynamics under the exposure of the non-cytolytic cure mechanism, a...
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On the exact reproduction number in SIS epidemic models with vertical transmission
This paper proposes a bi-variate competition process to describe the spread of epidemics of SIS type through both horizontal and vertical...
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Switching vaccination schemes for epidemic models with distributed time delay and two types of noise
Novel switched HIV/AIDS (human immunodeficiency virus/acquired immune deficiency syndrome) epidemic models with distributed time delay and bounded...
