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The Influence of saturated and bilinear incidence functions on the Dynamical Behavior of HIV Model Using Galerkin Scheme Having a Polynomial of Order Two

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Computer Modeling in Engineering & Sciences 2023年第8期136卷 1661-1685页

作者： Attaullah Kamil Zeb Abdullah Mohamed Department of Mathematics&Statistics Bacha Khan UniversityCharsadda24461Pakistan Research Centre Future University in EgyptNew Cairo11835Egypt

Mathematical modelling has been extensively used to measure intervention strategies for the control of contagious *** between different models is pivotal for furnishing strong substantiation for policymakers because the differences in model features can impact their *** modelling has been widely used in order to better understand the transmission,treatment,and prevention of infectious ***,we study the dynamics of a human immunodeficiency virus(HIV)infection model with four variables:S(t),I(t),C(t),and A(t)the susceptible individuals;HIV infected individuals(with no clinical symptoms of AIDS);HIV infected individuals(under ART with a viral load remaining low),and HIV infected individuals with two different incidence functions(bilinear and saturated incidence functions).A novel numerical scheme called the continuous Galerkin-Petrov method is implemented for the solution of *** influence of different clinical parameters on the dynamical behavior of S(t),I(t),C(t)and A(t)is described and *** the results are depicted *** the other hand,we explore the time-dependent movement of nanofluid in porous media on an extending sheet under the influence of thermal radiation,heat flux,hall impact,variable heat source,and *** flow is considered to be 2D,boundary layer,viscous,incompressible,laminar,and *** transformations turn governing connected PDEs intoODEs,which are solved using the proposed *** justify the envisaged problem,a comparison of the current work with previous literature is presented.

关键词： HIV/AIDS Galerkin technique bilinear and saturated incidence functions

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