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Modeling and Analysis of Malt-Drug Resistance Tuberculosis in Densly Populated Areas
Dancho Desaleng,
Purnachandra Rao Koya
Issue:
Volume 4, Issue 1, February 2016
Pages:
1-10
Received:
18 November 2015
Accepted:
4 December 2015
Published:
4 January 2016
Abstract: Tuberculosis is an airborne disease caused by the bacterium called mycobacterium tuberculosis. We have compartmentalized the population based on the exposed level to the disease and described the flow using a flowchart. Mathematical model is developed to describe the population dynamics of the compartments. The migration of people from infected class to exposed class, due to failure of continuing the medicine for any reason, is called here as Malt – drug resistance tuberculosis. The equilibrium points identified are disease free, endemic and epidemic. Equilibrium point analysis is made and has been included. Formula for reproduction number is derived. Numerical simulation study of the Mathematical model is conducted using ode45 function of MATLAB software. It is shown that the propagation of the disease is more in the more populated areas and less in the less populated areas.
Abstract: Tuberculosis is an airborne disease caused by the bacterium called mycobacterium tuberculosis. We have compartmentalized the population based on the exposed level to the disease and described the flow using a flowchart. Mathematical model is developed to describe the population dynamics of the compartments. The migration of people from infected cla...
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Modeling the Combined Effect of Vertical Transmission and Variable Inflow of Infective Immigrants on the Dynamics of HIV/AIDS
Tadele Tesfa Tegegne,
Purnachandra Rao Koya,
Temesgen Tibebu Mekonnen
Issue:
Volume 4, Issue 1, February 2016
Pages:
11-19
Received:
11 December 2015
Accepted:
23 December 2015
Published:
11 January 2016
Abstract: In this paper, a Non linear Mathematical model is proposed and studied the combined effect of vertical transmission (MTCT) and variable inflow of infective immigrants on the dynamics of HIV/AIDS. Vertical transmission means propagation of the disease from mother to children. ‘Variable inflow of infective immigrants’ includes both the aware and unaware infected immigrants. The equilibrium points of the model are found and the stability analysis of the model around these equilibrium points is conducted. The stability analysis on the model shows that the disease free equilibrium point E0 is locally asymptotically stable when R0<1. The positive endemic equilibrium point E* is shown to be locally asymptotically stable when R0>1. Further it is shown that R0>R´0, this shows that the basic reproduction number of the present model is greater than the one which is obtained from the model modeled without vertical transmission. Through vertical transmission the disease flows from infected mother to children. That is, Vertical transmission contributes positively to the spread of the disease. Numerical simulation of the model is carried out to assess the effect of unaware HIV infective immigrants and vertical transmission (MTCT) in the spread of HIV/AIDS disease. The result showed that HIV infective immigrants and vertical transmission (MTCT) significantly affects the spread of the disease. Screening of the disease reduces the spread of HIV and also prevents mother to child transmission. It is well accepted that both vertical transmission and immigration contribute positively to the spread of the disease and these two parameters cannot be avoided in practice. Hence, the purpose of this study is to investigate the combined effect of vertical transmission, unaware and aware infected immigrants on the spread of HIV/AIDS and offers possible intervention strategies.
Abstract: In this paper, a Non linear Mathematical model is proposed and studied the combined effect of vertical transmission (MTCT) and variable inflow of infective immigrants on the dynamics of HIV/AIDS. Vertical transmission means propagation of the disease from mother to children. ‘Variable inflow of infective immigrants’ includes both the aware and unaw...
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Statistical Theory of Four-Point Distribution Functions in MHD Turbulent Flow
Md. Abul Kalam Azad,
Md. Masidur Rahman,
Md. Mamun Miah
Issue:
Volume 4, Issue 1, February 2016
Pages:
20-46
Received:
12 December 2015
Accepted:
29 December 2015
Published:
21 January 2016
Abstract: In this paper, the four-point distribution functions for simultaneous velocity, magnetic, temperature and concentration fields in MHD turbulent flow have been studied. It is tried to derive the transport equation for four-point distribution function in MHD turbulent flow. The obtained equation is compared with the first equation of BBGKY hierarchy of equations and the closure difficulty is to be removed as in the case of ordinary turbulence.
Abstract: In this paper, the four-point distribution functions for simultaneous velocity, magnetic, temperature and concentration fields in MHD turbulent flow have been studied. It is tried to derive the transport equation for four-point distribution function in MHD turbulent flow. The obtained equation is compared with the first equation of BBGKY hierarchy ...
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Separation of Angular Momentum
Mohammed Yousif,
Emadaldeen Abdalrahim
Issue:
Volume 4, Issue 1, February 2016
Pages:
47-52
Received:
7 December 2015
Accepted:
26 January 2016
Published:
16 February 2016
Abstract: In this paper we speak about angular momentum, we have shown that the separation of the total angular momentum of the electromagnetic field into its orbital and spin parts. It is dictated by quantum mechanics of photons reproduces. Therefore, the results are derived from the proprieties of Fourier and Maxwell fields by Darwin, with the correspondence results that derived heuristically by many authors.
Abstract: In this paper we speak about angular momentum, we have shown that the separation of the total angular momentum of the electromagnetic field into its orbital and spin parts. It is dictated by quantum mechanics of photons reproduces. Therefore, the results are derived from the proprieties of Fourier and Maxwell fields by Darwin, with the corresponden...
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Effects of Temperature Dependent Viscosity on Magnetohydrodynamic Natural Convection Flow Past an Isothermal Sphere
Mwangi Wanjiku Lucy,
Mathew Ngugi Kinyanjui,
Surindar Mohan Uppal
Issue:
Volume 4, Issue 1, February 2016
Pages:
53-61
Received:
8 January 2016
Accepted:
30 January 2016
Published:
25 February 2016
Abstract: In this study, the effects of temperature dependent viscosity on MHD natural convection flow past an isothermal sphere are determined. The uniformly heated sphere is immersed in a viscous and incompressible fluid where viscosity of the fluid is taken as a non-linear function of temperature. The Partial Differential Equations governing the flow are transformed into non dimensional form and solved using the Direct Numerical Scheme and implemented in MATLAB. The numerical results obtained are presented graphically and in tables and are discussed. In this study, it has been observed that increasing the Magnetic parameter M leads to decrease in velocity, temperature, skin friction and the rate of heat transfer. It has also been noted that increase in the Grashof number Gr leads to increase in velocity and temperature whereas increase in the values of eta η leads to increase in temperature but there is a decrease in velocity. These results are applicable to engineers in designing electricity plants which have higher life expectancy.
Abstract: In this study, the effects of temperature dependent viscosity on MHD natural convection flow past an isothermal sphere are determined. The uniformly heated sphere is immersed in a viscous and incompressible fluid where viscosity of the fluid is taken as a non-linear function of temperature. The Partial Differential Equations governing the flow are ...
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