Fractional HIV infection model
Approximate Solutions for a Class of Fractional Order Model of HIV Infection via Linear Programming Problem
... the fractional derivative by a finite difference method and then use the AVK approach [24] to obtain a new approximate solution for the ...modelling HIV infection of CD4 + T ...
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A new method based on fourth kind Chebyshev wavelets to a fractional-order model of HIV infection of CD4+T cells
... 2.3. Operational matrix of fractional integration (OMFI). OMFI of a family of wavelets can be obtained with or without Block-Pulse functions (BPF). For obtaining OMFI of Bernoulli wavelets, Keshavarz et al. ...
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A Neural Network Approach for Solving Fractional-Order Model of HIV Infection of CD4+T-Cells
... Recently, fractional calculus (FC) has been extensively applied in many ...to model real processes using the fractional ...of fractional kinetics in complex systems ...a ...
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Stability analysis for HIV infection of CD4+ T cells by a fractional differential time delay model with cure rate
... HBV model with a standard incidence function and ‘cure’ ...dynamic model with cure rate, Zhou et ...the HIV infection model. In recent years, the HIV model with cure rate ...
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A Model of Spatial Spread of an Infection with Applications to HIV/AIDS in Mali
... because the time derivative of I is bounded in the graph norm of a fractional power of the generator A ([7] Chapter 2 Section 2.6 and Theorem 8.4.3). The strong maximum principle applies. Assume the maxi- mum I ...
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Numerical analysis of fractional order model of HIV-1 infection of CD4+ T-cells
... fractional order has the great effect on the behavior of dynamics of various cells in the proposed model. From the Figure 2, we see that our scheme provides close agreement between the solutions obtained by ...
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HIV/HCV coinfection model: a fractional order perspective for the effect of the HIV viral load
... as HIV, dengue fever, and ...the model. The numerical results suggest that the HIV viral load impacts impressively the severity of the HCV ...the HIV/HCV ...the fractional derivative. ...
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Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one dimensional Keller Segel equations
... is the infection rate, the term KVT describes the incidence of HIV infection of healthy CD + T cells. Each infected CD + T cell is assumed to produce one virus particle during its lifetime, ...
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A Caputo–Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment
... [1], HIV has spread worldwide and over 35 million people have died from AIDS-related ...with HIV, and ap- proximately ...with HIV were receiving antiretroviral therapy ...of HIV/AIDS with ...
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A nonstandard finite difference scheme for solving fractional-order model of HIV-1 infection of CD4^{+} t-cells
... Human immune deficiency virus (HIV) is a lenti virus (a member of the retro virus family) that causes acquired immuno deficiency syndrome (AIDS) , a condition in humans in which the immune system begins to fail , ...
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Mathematical Analysis of Fractional Order Co-Infection TB and HIV Model
... mathematical model of HIV/AIDS and TB including its co-infections is ...TB, HIV/AIDS and its co-infections. The Caputo and Caputo Febrizo fractional derivative operator of order α ∈ (0, 1] is ...
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Effects of HIV infection on CD4+ T cell population based on a fractional order model
... population model for TB-HIV/AIDS coinfec- tion transmission dynamics, they applied optimal control theory to TB-HIV/AIDS model to study optimal strategies for the minimization of the number of ...
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The Majority of CD4+ T-Cell Depletion during Acute Simian-Human Immunodeficiency Virus SHIV89.6P Infection Occurs in Uninfected Cells
... our model was not able to perfectly predict the viral load and CD4 ⫹ T-cell dynamics of each ...Our model may slightly overestimate the true death rate of infected cells, because cellular RNA, DNA, and ...
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Risk Factors, Clinical Features, Baseline Alanine Aminotransferase and CD4+ Count of Children with HIV Co Infection with Hepatitis B and C at a Tertiary Hospital in Southwest Nigeria
... of HIV co-infection with HBV or HCV with baseline WHO clinical staging of HIV, because it is logical to expect advanced or severe HIV/AIDS in pa- tients with co-infection [3] ...between ...
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Dynamical Behavior of Fractional Order SVIR Epidemic Model
... the model are positive and have the following features, µ is the recruitment rate and natural death rate of the population, β denotes the transmission coefficient between compartments S and I, α is the rate at ...
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journal.ppat.1002732.PDF
... by HIV seropositive mothers in resource limited settings where prophylaxis is not available reduces the risk of HIV transmission but does not increase the overall survival of their children; breastfeeding ...
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Analysis of Complex Correlated Interval Censored HIV Data from Population Based Survey
... as HIV. HIV prevalence data is the most com- monly available surveillance ...However, HIV incidence provides a more useful measure of epidemiological trends and sensitive indicator for evaluating ...
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Optimal Control of a Time Delayed HIV-1 Infection Model
... proposed model, we analyze the interactions of healthy CD4+T cells, single infected CD4+T cells,double infected cells, free virus and recombinant virus: two major categories of anti-retroviral drugs to combat ...
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SIV infection of rhesus macaques of Chinese origin: a suitable model for HIV infection in humans
... acute infection of these animals with no significant changes in viral tropism and sequences after ...encoded HIV reverse transcriptase gene (RT SHIV) could be transmitted efficiently via the vaginal route ...
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journal.pmed.1001232.PDF
... stage, model structure, transmission mode, and EHI ...by infection stage [10], we constructed a mathematical model that allowed for transmission both within and outside of steady heterosexual ...
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