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An epidemiological model for HIV infection in a population using type-2 fuzzy sets and cellular automaton
Acquired immunodeficiency syndrome (AIDS) is an infectious and contagious disease caused by the human immunodeficiency virus (HIV), which is a global...
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Mathematical Analysis of the Dynamics of HIV Infection with CTL Immune Response and Cure Rate
The mathematical model of the human immunodeficiency virus (HIV) pathogenesis with CTL (cytotoxic T lymphocytes) immune response and cure rate of...
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Assessing the effect of migration and immigration rates on the transmission dynamics of infectious diseases
This paper explores the effect of immigration in a generalized model that considers susceptibles, infected, chronic carriers, and recovered, the...
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Mathematical Modelling of HIV/AIDS Treatment Using Caputo–Fabrizio Fractional Differential Systems
The focus of this study lies in develo** and evaluating a Caputo–Fabrizio fractional derivative model that encapsulates the dynamics of the...
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Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy
This study presents methods of hygiene and the use of masks to control the disease. The zero basic reproduction number can be achieved by taking the...
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A mathematical model for HIV dynamics with multiple infections: implications for immune escape
Multiple infections enable the recombination of different strains, which may contribute to viral diversity. How multiple infections affect the...
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Interval Type-2 Fuzzy Sets in the Future: Scientific Projects for Development
The applications described in Chap. 3 are related to topics in the biological field, such as drug...
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Mathematical modeling applied to epidemics: an overview
This work presents an overview of the evolution of mathematical modeling applied to the context of epidemics and the advances in modeling in...
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Trends and Risk of HIV/AIDS in Turkey and Its Cities
We developed a mathematical model to study the dynamics of HIV/AIDS in Turkey and its environs.Hincal, Evren Two equilibrium points were found and...
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MedLexSp – a medical lexicon for Spanish medical natural language processing
BackgroundMedical lexicons enable the natural language processing (NLP) of health texts. Lexicons gather terms and concepts from thesauri and...
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Power-series solutions of fractional-order compartmental models
Compartmental models based on coupled differential equations of fractional order have been widely employed in the literature for modeling. An...
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On the Evolution Equation for Modelling the Covid-19 Pandemic
The paper introduces and discusses the evolution equation, and, based exclusively on this equation, considers random walk models for the time series...
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Parametric Regression Model Based on Reversed Hazard Rate: An Application to left censored heavy tailed HIV Viral Load Data
The parametric survival model with Weibull distribution can be used to model a wide range of practical lifetime data. While there have been several...
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Principles of Virus–Host Interaction
This chapter presents a brief overview of basic immunological concepts and ideas necessary for the development of mathematical models of immune...
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Percolation in Biological Systems
Most biological systems are so complex that they preclude any reasonable description in terms of the exact interactions among their fundamental...
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Mathematical Modeling and Numerical Analysis of HIV-1 Infection with Long-Lived Infected Cells During Combination Therapy and Humoral Immunity
In this work, we develop a mathematical model formulated by partial differential equations (PDEs) describing the HIV-1 dynamics with four discrete...
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Stability Analysis of a New Differential-Difference Model Applied to the Pre-exposure Prophylaxis (PrEP) Effect on the Spread of HIV
In this research, an examination is conducted on a model derived from the inquiry into the efficacy of HIV Pre-Exposure Prophylaxis (PrEP) within...
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Impact of Combined Therapy in HIV-1 Treatment: A Double Impulsive Approach
The major class of antiretroviral drugs used in the treatment of HIV positive patients are fusion inhibitors (FIs) and protease inhibitors (PIs). The...
