‎in this paper‎, ‎we introduce fractional-order into a model of hiv-1 infection of cd4^+ t--cells‎. ‎we study the effect of ‎the changing the average number of viral particles $n$ with different sets of initial conditions on the dynamics of‎ ‎the presented model‎. ‎ ‎the nonstandard finite difference (nsfd) scheme is implemented‎ ‎to study the dynamic behaviors in the fractional--order hiv-1‎‎i...

Each year, millions of children are born with human immunodeficiency virus (HIV), a quarter whom adhere poorly to HIV treatment guidelines. This study uses simple mathematical model investigate the basic dynamic processes by which infected newborns under progress AIDS and contribute its spread. The results indicate that disease-free steady state is unstable, raising substantial concern from pub...

BACKGROUND Previous studies suggest that concurrent sexually transmitted infection may enhance HIV transmission. This paper explores some theoretical consequences of this using a mathematical model of transmission of HIV and other STD pathogens. OBJECTIVES To develop a deterministic mathematical model to describe the heterosexual transmission dynamics of both HIV and a bacterial STD. STUDY ...

Mathematical models have the potential to contribute design and evaluate infectivity spreading growth of human immunodeficiency virus (HIV). Providing a better understanding dynamics HIV infection in vivo immune system interactions with can improve classification infected cells drive an early diagnosis disease drug evaluations. We analyze two-dimensional environment model from new perspective, ...

The most urgent public health problem today is to devise effective strategies to minimize the destruction caused by the AIDS epidemic. Mathematical models based on the underlying transmission mechanisms of the AIDS virus can help the medical/scientific community understand and anticipate its spread in different populations and evaluate the potential effectiveness of different approaches for bri...

BACKGROUND Multiple prevention measures have the possibility of impacting HIV incidence in South Korea, including early diagnosis, early treatment, and pre-exposure prophylaxis (PrEP). We investigated how each of these interventions could impact the local HIV epidemic, especially among men who have sex with men (MSM), who have become the major risk group in South Korea. A mathematical model was...

Abstract The paper considers a time-adaptive finite element method for determination of drug efficacy in parameter identification problem (PIP) system ordinary differential equations (ODE) that describes dynamics the primary human immunodeficiency virus (HIV) infection with therapy. Tikhonov’s regularization method, optimization approach and to solve this are presented. A posteriori error estim...

Abstract. We propose a population model for HIV-TB co-infection dynamics by considering treatments for HIV infection, active tuberculosis and co-infection. The HIV only and TB only models are analyzed separately, as well as full model. The basic reproduction numbers for TB (RT0 ) and HIV (RH0 ) and overall reproduction number for the system R0 = max{R T 0 ,R H 0 } are computed. The equilibria a...

A mathematical model of the HIV infected human immune system is presented. The model consists of a system of ordinary differential equations for the populations of uninfected CD4+ T cells, infected CD4+ T cells and free virus in the blood. The model is constructed, and parameters chosen, so that turnover rates and life spans for these populations agree with clinical data. The model is used to s...