Global stability and numerical simulation of a mathematical model of stem cells therapy of HIV-1 infection

A mathematical model on cleanliness drive in India is analysed for active cleaners and passive cleaners. Cleanliness and endemic equilibrium points are found. Local and global stability of these equilibrium points are discussed using Routh-Hurwitz criteria and Lyapunov function respectively. Impact of media (as a control) is studied on passive cleaners to become active. Numerical simulation of the model is carried out which indicates that with the help of media transfer rate to active cleaners from passive cleaners is higher.

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Mathematical Model to Analyze Effect of Demonetization

Mathematical Models of Infectious Diseases and Social Issues - Advances in Medical Technologies and Clinical Practice ◽

10.4018/978-1-7998-3741-1.ch012 ◽

2020 ◽

pp. 270-286

Author(s):

Nita H. Shah ◽

Bijal M. Yeolekar ◽

Zalak Ashvinkumar Patel

Keyword(s):

Numerical Simulation ◽

Mathematical Model ◽

Differential Equations ◽

Global Stability ◽

Banking Sector ◽

Nonlinear Differential Equations ◽

National Currency ◽

Limited Time ◽

Local And Global Stability ◽

The Government

Demonetization is a fundamental regulatory act of stripping in which a currency unit's status as an exchange is professed worthless. Generally, it is done whenever there is a change of national currency, often to be replaced of the old notes or coins with a new one. Sometimes, a country totally replaces the old currency with new currency. For example, in India recently the government demonetized RS. 500 and 1000 notes. So, one has to deposit their cash within limited time in the banks. The demonetization affects individuals mildly or potentially, which in turn affects banking sector. So, SMPB-model is proposed and analyzed for demonetization. The SMP-model is formulated with the system of nonlinear differential equations. The effect of demonetization is studied by calculating threshold using next generation matrix. The local and global stability for demonetization free equilibrium and demonetization equilibrium is worked out. The existence of the equilibrium is investigated. The model is validated with numerical simulation.

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Mathematical Modeling to Study Multistage Stem Cell Transplantation in HIV-1 Patients

Discrete Dynamics in Nature and Society ◽

10.1155/2019/6379142 ◽

2019 ◽

Vol 2019 ◽

pp. 1-8

Author(s):

Manar A. Al Qudah ◽

Sana’a A. Zarea ◽

Saoussan A. Kallel-Jallouli

Keyword(s):

Mathematical Modeling ◽

Mathematical Model ◽

Stem Cells ◽

Stem Cell ◽

Stem Cell Transplantation ◽

Cell Transplantation ◽

Cell Types ◽

Therapeutic Measure ◽

The Right ◽

Hiv 1

Stem cells as a therapeutic measure for the treatment of different diseases have a great potential to give rise to different mature cells as they could be used to treat HIV-1 patients when provided with the convenient factors. Thus, this paper proposes a new mathematical model, represented by a system of ODEs, to study the effect of stem cell transplantation for HIV-1 patients. Since stem cells lineage passes through many stages to become more specialized cell types, investigating (theorizing) the best stage for these cells to be engrafted was needed. The proposed system of ODEs can help medicine make the right decision about the proposed therapy.

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A simple mathematical model for the spread of two political parties

Nonlinear Analysis Modelling and Control ◽

10.15388/na.17.3.14060 ◽

2012 ◽

Vol 17 (3) ◽

pp. 343-354 ◽

Cited By ~ 11

Author(s):

Arvind Kumar Misra

Keyword(s):

Numerical Simulation ◽

Mathematical Model ◽

Political Parties ◽

Global Stability ◽

The Political ◽

Simple Mathematical Model ◽

Local And Global Stability ◽

Non Linear ◽

Mixed Equilibria ◽

Epidemiological Approach

In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach. The whole population is assumed to be a constant and homogeneously mixed. Equilibria have been obtained analytically and their local and global stability have been discussed. Conditions for the co-existence of both the political parties have been obtained. Numerical simulation is also performed to support the analytical results.

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Fractional numerical simulation of mathematical model of HIV-1 infection with stem cell therapy

AIMS Mathematics ◽

10.3934/math.2021394 ◽

2021 ◽

Vol 6 (7) ◽

pp. 6715-6725

Author(s):

Noufe H. Aljahdaly ◽

◽

R. A. Alharbey ◽

Keyword(s):

Numerical Simulation ◽

Mathematical Model ◽

Stem Cell ◽

Cell Therapy ◽

Stem Cell Therapy ◽

Hiv 1

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Biochemical Evaluation to Mesenchymal Stem Cells Therapy of Renal Tubulointerstitial Injury

Indian Journal Of Applied Research ◽

10.15373/2249555x/oct2013/6 ◽

2011 ◽

Vol 3 (10) ◽

pp. 1-5

Author(s):

Zahran F Zahran F ◽

◽

El-Ghareb M El-Ghareb M ◽

Nashwa Barakat ◽

El-Naggar I El-Naggar I

Keyword(s):

Stem Cells ◽

Mesenchymal Stem Cells ◽

Tubulointerstitial Injury ◽

Stem Cells Therapy ◽

Biochemical Evaluation

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Numerical Simulation on Mold Electromagnetic Eccentric Stirring and Central Segregation of Round Bloom

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.652-654.2450 ◽

2013 ◽

Vol 652-654 ◽

pp. 2450-2454

Author(s):

Zhi Hong Zhang ◽

Guo Guang Cheng

Keyword(s):

Numerical Simulation ◽

Mathematical Model ◽

Electromagnetic Stirring ◽

Center Line ◽

Central Segregation

The paper describes multi-section round bloom casting using external MEMS, equipped with max section D600mm and min D280mm mold, the center line of D280mm mold not coincident with the axis of stirrer coils. it is exist eccentric electromagnetic stirring of mold which section less than max D600mm, a mathematical model of MEMS has been established, the index of central segregation of D280mm macrostructure had decreased less than 1.12 by optimized parameters of electromagnetic stirring and SEN immerse depth, in the end, the quality of round bloom had improved.

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Qualitative properties of mathematical model of English language education

Advances in Difference Equations ◽

10.1186/s13662-020-03180-0 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Atena Ghasemabadi ◽

Nahid Soltanian

Keyword(s):

Mathematical Model ◽

Global Stability ◽

Equilibrium Point ◽

English Language ◽

Language Education ◽

Qualitative Properties ◽

English Language Education ◽

Compound Matrices ◽

Reproduction Numbers ◽

Coexistence Equilibrium

AbstractThis paper presents a mathematical model that examines the impacts of traditional and modern educational programs. We calculate two reproduction numbers. By using the Chavez and Song theorem, we show that backward bifurcation occurs. In addition, we investigate the existence and local and global stability of boundary equilibria and coexistence equilibrium point and the global stability of the coexistence equilibrium point using compound matrices.

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Volterra–Lyapunov Stability Analysis of the Solutions of Babesiosis Disease Model

Symmetry ◽

10.3390/sym13071272 ◽

2021 ◽

Vol 13 (7) ◽

pp. 1272

Author(s):

Fengsheng Chien ◽

Stanford Shateyi

Keyword(s):

Mathematical Model ◽

Stability Analysis ◽

Global Stability ◽

Numerical Simulations ◽

Lyapunov Stability ◽

Disease Model ◽

Transmission Dynamics ◽

Global Stability Analysis ◽

Lyapunov Stability Analysis ◽

Disease Free

This paper studies the global stability analysis of a mathematical model on Babesiosis transmission dynamics on bovines and ticks populations as proposed by Dang et al. First, the global stability analysis of disease-free equilibrium (DFE) is presented. Furthermore, using the properties of Volterra–Lyapunov matrices, we show that it is possible to prove the global stability of the endemic equilibrium. The property of symmetry in the structure of Volterra–Lyapunov matrices plays an important role in achieving this goal. Furthermore, numerical simulations are used to verify the result presented.

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