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Mathematical modeling and analysis can provide insight on the dynamics of ecosystems which maintain biodiversity in the face of competitive and prey-predator interactions. Of primary interests are the underlying structure and features which…

种群与进化 · 定量生物学 2017-01-03 Cameron J. Browne

In a recent article Hontelez and colleagues investigate the prospects for elimination of HIV in South Africa through expanded access to antiretroviral therapy (ART) using STDSIM, a micro-simulation model. One of the first published models…

定量方法 · 定量生物学 2014-03-28 Brian Williams

In this article, we consider an HIV/AIDS epidemic model with four classes of individuals. We have discussed about basic properties of the system and found the basic reproduction number $R_0$ of the system. The stability analysis of the…

动力系统 · 数学 2023-04-18 Nouar Chorfi , Salem Abdelmalek , Samir Bendoukha

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…

种群与进化 · 定量生物学 2018-08-10 Sachin Kumar , Shikha Jain

Human immunodeficiency virus (HIV) evolves with extraordinary rapidity. However, its evolution is constrained by interactions between mutations in its fitness landscape. Here we show that an Ising model describing these interactions,…

种群与进化 · 定量生物学 2016-02-24 Thomas C. Butler , John P. Barton , Mehran Kardar , Arup K. Chakraborty

In this paper, the mathematical model of HIV infection for CD8+ T-cells is illustrated. The homotopy analysis method and the Laplace transformations are combined for solving this model. Also, the convergence theorem is proved to demonstrate…

计算工程、金融与科学 · 计算机科学 2019-07-03 Samad Noeiaghdam , Emran Khoshrouye Ghiasi

Viral infections can be broadly divided into infections that are cleared from the host (acute) and those that persist (chronic). Why some viruses establish chronic infections while other do not is poorly understood. One possibility is that…

种群与进化 · 定量生物学 2009-05-13 Vitaly V. Ganusov , Aron E. Lukacher , Anthony M. Byers

In this paper we consider the evolution of the HIV infection under a highly effective treatment based on a combination of RTI and/or PI drugs. This is usually modelled with a set of ODEs where the drug efficacy is a constant. In this paper…

种群与进化 · 定量生物学 2007-05-23 G. Della Rocca , M. Sammartino , L. Seta

HIV-1 can disseminate between susceptible cells by two mechanisms: cell-free infection following fluid-phase diffusion of virions and by highly-efficient direct cell-to-cell transmission at immune cell contacts. The contribution of this…

We propose a time-parameterized analogy between the thermodynamic behavior of a 3-level energy system and the progression of the HIV infection described by the cell population evolution generated by an appropriated cellular automata model.…

种群与进化 · 定量生物学 2020-06-24 Ramón E. R. González , P. H. Figueirêdo , S. Coutinho

An increasing number of control techniques are introduced to HIV infection problem to explore the options of helping clinical testing, optimizing drug treatments and to study the drug resistance situations. In such cases, complete/accurate…

最优化与控制 · 数学 2019-07-17 Fei Sun , Kamran Turkoglu

In this letter, we mainly consider an MSM (men have sex with men) network to analysis how monogamy behavior can influence the transmission of HIV. By calculating and analyzing the basic reproductive number of that network, we find the…

种群与进化 · 定量生物学 2020-07-15 Chentong Li , Jiawei liu , Yicang Zhou

In this paper, we construct a model to describe the transmission of HIV in a homogeneous host population. By considering the specific mechanism of HIV, we derive a model structured in three successive stages: (i) primary infection, (ii)…

偏微分方程分析 · 数学 2019-11-18 Mboya Ba , Ramsès Djidjou-Demasse , Mountaga Lam , Jean-Jules Tewa

Knowledge of the time at which an HIV-infected individual seroconverts, when the immune system starts responding to HIV infection, plays a vital role in the design and implementation of interventions to reduce the impact of the HIV…

应用统计 · 统计学 2017-06-09 Loumpiana Koulai , Anne Presanis , Gary Murphy , Barbara Suligoi , Daniela De Angelis

In early HIV infection, the virus population escapes from multiple CD8+ cell responses. The later an escape mutation emerges, the slower it outgrows its competition, i. e. the escape rate is lower. This pattern could indicate that the…

种群与进化 · 定量生物学 2014-09-30 Victor Garcia , Roland Regoes

We consider a recent coinfection model for Tuberculosis (TB), Human Immunodeficiency Virus (HIV) infection and Acquired Immunodeficiency Syndrome (AIDS) proposed in [Discrete Contin. Dyn. Syst. 35 (2015), no. 9, 4639--4663]. We introduce…

最优化与控制 · 数学 2018-05-22 Roman Denysiuk , Cristiana J. Silva , Delfim F. M. Torres

We study the early stages of viral infection, and the distribution of times to obtain a persistent infection. The virus population proliferates by entering and reproducing inside a target cell until a sufficient number of new virus…

种群与进化 · 定量生物学 2019-07-11 Carmel Sagi , Michael Assaf

Chronic infections of the human immunodeficiency virus (HIV) create a very complex co-evolutionary process, where the virus tries to escape the continuously adapting host immune system. Quantitative details of this process are largely…

种群与进化 · 定量生物学 2022-07-27 Andrea Mazzolini , Thierry Mora , Aleksandra M Walczak

The objective is to model longitudinal and survival data jointly taking into account the dependence between the two responses in a real HIV/AIDS dataset using a shared parameter approach inside a Bayesian framework. We propose a linear…

应用统计 · 统计学 2016-05-02 Rui Martins

Oxidative stress, a reaction caused by the imbalance between the reactive oxygen species of human organism and its ability to detoxify reactive intermediates and to repair the resulting damage plays an important role in HIV-infections. On…

种群与进化 · 定量生物学 2018-08-08 Shaoli Wang , Fei Xu , Xinyu Song