On the solution of the Human Immunodeficiency Virus (HIV) infection model using spectral collocation method

2020 ◽  
Author(s):  
Sagithya Thirumalai ◽  
Rajeswari Seshadri ◽  
Suayip Yuzbasi
Keyword(s):  
Human Immunodeficiency Virus ◽  
Hiv Infection ◽  
Collocation Method ◽  
Spectral Collocation Method ◽  
Infection Model ◽  
Spectral Collocation ◽  
Immunodeficiency Virus ◽  
Hiv Infection Model

scholarly journals Threshold dynamics and threshold analysis of HIV infection model with treatment

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Zhimin Chen ◽  
Xiuxiang Liu ◽  
Liling Zeng
Keyword(s):  
Hiv Infection ◽  
Time Delays ◽  
Dynamical Behavior ◽  
Infection Model ◽  
Threshold Dynamics ◽  
Positive Equilibrium ◽  
Asymptotically Stable ◽  
Globally Asymptotically Stable ◽  
Immunodeficiency Virus ◽  
Hiv Infection Model

Abstract In this paper, a human immunodeficiency virus (HIV) infection model that includes a protease inhibitor (PI), two intracellular delays, and a general incidence function is derived from biologically natural assumptions. The global dynamical behavior of the model in terms of the basic reproduction number $\mathcal{R}_{0}$ R 0 is investigated by the methods of Lyapunov functional and limiting system. The infection-free equilibrium is globally asymptotically stable if $\mathcal{R}_{0}\leq 1$ R 0 ≤ 1 . If $\mathcal{R}_{0}>1$ R 0 > 1 , then the positive equilibrium is globally asymptotically stable. Finally, numerical simulations are performed to illustrate the main results and to analyze thre effects of time delays and the efficacy of the PI on $\mathcal{R}_{0}$ R 0 .

scholarly journals Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Adnane Boukhouima ◽  
Khalid Hattaf ◽  
Noura Yousfi
Keyword(s):  
Hiv Infection ◽  
Functional Response ◽  
Fractional Order ◽  
Infection Model ◽  
Cure Rate ◽  
Order Model ◽  
Immunodeficiency Virus ◽  
Hiv Infection Model ◽  
Well Posed ◽  
Theoretical Results

We propose a fractional order model in this paper to describe the dynamics of human immunodeficiency virus (HIV) infection. In the model, the infection transmission process is modeled by a specific functional response. First, we show that the model is mathematically and biologically well posed. Second, the local and global stabilities of the equilibria are investigated. Finally, some numerical simulations are presented in order to illustrate our theoretical results.

Human Immunodeficiency Virus (HIV) infection model based on triangular neutrosophic cubic hesitant fuzzy number

2019 ◽  
Vol 12 (05) ◽  
pp. 1950055 ◽  
Author(s):  
Fazli Amin ◽  
Aliya Fahmi
Keyword(s):  
Decision Making ◽  
Human Immunodeficiency Virus ◽  
Fuzzy Number ◽  
Score Function ◽  
Multiple Attribute Decision Making ◽  
Infection Model ◽  
Weighted Arithmetic ◽  
Multiple Attribute ◽  
Immunodeficiency Virus ◽  
Hiv Infection Model

In this paper, we define the basic concept of triangular neutrosophic cubic hesitant fuzzy number and their properties. We develop a triangular neutrosophic cubic hesitant fuzzy ordered weighted arithmetic averaging (TNCHFOWAA) operator and a triangular neutrosophic cubic hesitant fuzzy ordered weighted geometric averaging (TNCHFOWGA) operator to aggregate triangular neutrosophic cubic hesitant fuzzy number (TNCHFN) information and investigate their properties. Furthermore, a multiple attribute decision-making method based on the TNCHFOWAA operator and triangular neutrosophic cubic hesitant fuzzy ordered weighted geometric (TNCHFOWG) operator and the score function of TNCHFN is established under a TNCHFN environment. Finally, an illustrative example of investment alternatives is given to demonstrate the application and effectiveness of the developed approach.

A numerical method for the solutions of the HIV infection model of CD4+T-cells

2017 ◽  
Vol 10 (07) ◽  
pp. 1750098 ◽  
Author(s):  
Şuayip Yüzbaşı ◽  
Nurbol Ismailov
Keyword(s):  
T Cells ◽  
Hiv Infection ◽  
Operational Matrix ◽  
Approximate Solutions ◽  
Infection Model ◽  
Algebraic Equations ◽  
Immunodeficiency Virus ◽  
Taylor Polynomials ◽  
Hiv Infection Model ◽  
Operational Matrix Of Integration

In this paper, the human immunodeficiency virus (HIV) infection model of CD[Formula: see text][Formula: see text]T-cells is considered. In order to numerically solve the model problem, an operational method is proposed. For that purpose, we construct the operational matrix of integration for bases of Taylor polynomials. Then, by using this matrix operation and approximation by polynomials, the HIV infection problem is transformed into a system of algebraic equations, whose roots are used to determine the approximate solutions. An important feature of the method is that it does not require collocation points. In addition, an error estimation technique is presented. We apply the present method to two numerical examples and compare our results with other methods.

scholarly journals Global stability of a fractional order HIV infection model with cure of infected cells in eclipse stage

2019 ◽  
Vol Volume 30 - 2019 - MADEV... ◽  
Author(s):  
Moussa Bachraoui ◽  
Khalid Hattaf ◽  
Noura Yousfi
Keyword(s):  
Hiv Infection ◽  
Global Stability ◽  
Fractional Order ◽  
Infection Model ◽  
Proposed Model ◽  
Immunodeficiency Virus ◽  
Infected Cells ◽  
Hiv Infection Model ◽  
With Memory ◽  
Theoretical Results

Modeling by fractional order differential equations has more advantages to describe the dynamics of phenomena with memory which exists in many biological systems. In this paper, we propose a fractional order model for human immunodeficiency virus (HIV) infection by including a class of infected cells that are not yet producing virus, i.e., cells in the eclipse stage. We first prove the positivity and bound-edness of solutions in order to ensure the well-posedness of the proposed model. By constructing appropriate Lyapunov functionals, the global stability of the disease-free equilibrium and the chronic infection equilibrium is established. Numerical simulations are presented in order to validate our theoretical results.

Human Immunodeficiency Virus (HIV) Infection in Children

1987 ◽  
Vol 1 (3) ◽  
pp. 381-395 ◽  
Author(s):  
Beverly Ryan ◽  
Edward Connor ◽  
Anthony Minnefor ◽  
Frank Desposito ◽  
James Oleske
Keyword(s):  
Human Immunodeficiency Virus ◽  
Hiv Infection ◽  
Immunodeficiency Virus

Prevalence of and Risk Factors for Low Free Testosterone Levels in Japanese Men with Well-controlled Human Immunodeficiency Virus Infection

2020 ◽  
Vol 18 (5) ◽  
pp. 381-386
Author(s):  
Yusuke Yoshino ◽  
Ichiro Koga ◽  
Yoshitaka Wakabayashi ◽  
Takatoshi Kitazawa ◽  
Yasuo Ota
Keyword(s):  
Risk Factors ◽  
Human Immunodeficiency Virus ◽  
Standard Deviation ◽  
Hiv Infection ◽  
Free Testosterone ◽  
Serum Levels ◽  
University Hospital ◽  
Rapid Decline ◽  
Total Testosterone ◽  
Immunodeficiency Virus

Background: The change in the prevalence of hypogonadism with age in men with human immunodeficiency virus (HIV) infection is subject to debate. Objective: To address this issue, we diagnosed hypogonadism based on serum levels of free testosterone (fTST) rather than total testosterone which is thought to be an inaccurate indicator. We also determined the relationship between age and fTST levels and identified risk factors for hypogonadism in men with HIV infection. Method: We retrospectively reviewed fTST levels and associated clinical factors in 71 wellcontrolled HIV-infected men who were treated at Teikyo University Hospital between April 2015 and March 2016 and who had data available on serum fTST levels, measured >6 months after starting antiretroviral therapy. fTST was measured using radioimmunoassay on blood samples collected in the morning. Risk factors for hypogonadism were identified using Welch’s t-test and multiple regression analysis. Results: The men had a mean (± standard deviation) age of 47.4 ± 13.6 years, and mean (± standard deviation) serum fTST level of 13.0 ± 6.1 pg/mL. Fifteen (21.1%) men had hypogonadism based on a fTST <8.5 pg/mL. Serum fTST levels significantly decreased with age (−0.216 pg/mL/year). Older age and low hemoglobin levels were identified as risk factors for hypogonadism. Conclusion: The men in the study experienced a more rapid decline in fTST levels with age than men in the general population (−0.161 pg/mL/year). Serum fTST levels in men with HIV infection should be monitored, especially in older men and those with low hemoglobin levels.

Sign in / Sign up

Export Citation Format

Share Document