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Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence

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Communications in Theoretical Physics 2024年第3期76卷 1-14页

作者： Salah Boulaaras Rashid Jan Amin Khan Ali Allahem Imtiaz Ahmad Salma Bahramand Department of Mathematics College of ScienceQassim UniversityBuraydah51452Saudi Arabia Institute of Energy Infrastructure(IEI) Department of Civil EngineeringCollege of EngineeringUniversiti Tenaga Nasional(UNITEN)Putrajaya CampusJalan IKRAM-UNITEN43000 KajangSelangorMalaysia Department of Mathematics University of SwabiSwabi 23561Pakistan Department of Mathematics College of SciencesQassim UniversitySaudi Arabia Institute of Informatics and Computing in Energy(IICE) Universiti Tenaga NasionalKajangSelangorMalaysia Department of Political Science Bacha Khan University CharsaddaCharsadda 24420KPK Pakistan

In the last forty years,the rise of hiv has undoubtedly become a major concern in the field of public health,imposing significant economic burdens on affected ***,it becomes imperative to undertake comprehensive investigations into the mechanisms governing the dissemination of hiv within the human *** this work,we have devised a mathematical model that elucidates the intricate interplay between CD4^(+)T-cells and viruses of hiv,employing the principles of fractional *** production rate of CD4^(+)T-cells,like other immune cells depends on certain factors such as age,health status,and the presence of infections or ***,we incorporate a variable source term in the dynamics of hiv infection with a saturated incidence rate to enhance the precision of our *** introduce the fundamental concepts of fractional operators as a means of scrutinizing the proposed hiv *** facilitate a deeper understanding of our system,we present an iterative scheme that elucidates the trajectories of the solution pathways of the *** show the time series analysis of our model through numerical findings to conceptualize and understand the key factors of the *** addition to this,we present the phase portrait and the oscillatory behavior of the system with the variation of different input *** information can be utilized to predict the long-term behavior of the system,including whether it will converge to a steady state or exhibit periodic or chaotic oscillations.

关键词： hiv infection fractional-calculus dynamics of hiv iterative scheme dynamical behaviour mathematical model fractional derivatives

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Fractional-calculus analysis of human immunodeficiency virus and CD4+T-cells with control interventions

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Communications in Theoretical Physics 2022年第10期74卷 1-15页

作者： Rashid Jan Salah Boulaaras Syed Azhar Ali Shah Department of Mathematics University of SwabiSwabi 23430KPKPakistan Department of Mathematics College of Sciences and ArtsArRassQassim UniversitySaudi Arabia

It is undeniable that hiv infection has been a censorious public health concern over the past four *** is reported that hiv is the main reason for AIDs which has decimated the global population of humans and imposed a significant economic burden on affected ***,it is significant to study the transmission of hiv viruses in the body of a human *** this study,we use a fractional framework to organise the intricate interactions of CD4^(+)T-cells and hiv viruses in order to investigate hiv infection with control *** apply the operators of Caputo and Atangana–Baleanu to interrogate the transmission phenomena of hiv *** the analysis of our system,we present the basic concepts of the fractional *** schemes are provided to show the solution pathways of the system with the variation of input ***,the findings emphasise the chaotic and dynamical behaviour of *** run several simulations to visualise the influence of input factors and quantitatively illustrated the dynamics of *** and oscillatory behaviour are intimately linked,and this is owing to the system’s ***,our findings indicate the most important factors for infection control and prevention.

关键词： fractional-calculus hiv infection dynamics of hiv numerical method time series analysis

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