American Journal of Applied Mathematics

Volume 4, Issue 1, February 2016

  • 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: Nov. 18, 2015
    Accepted: Dec. 04, 2015
    Published: Jan. 04, 2016
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    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... Show More
  • 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: Dec. 11, 2015
    Accepted: Dec. 23, 2015
    Published: Jan. 11, 2016
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    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... Show More
  • 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: Dec. 12, 2015
    Accepted: Dec. 29, 2015
    Published: Jan. 21, 2016
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    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 ... Show More
  • Separation of Angular Momentum

    Mohammed Yousif, Emadaldeen Abdalrahim

    Issue: Volume 4, Issue 1, February 2016
    Pages: 47-52
    Received: Dec. 07, 2015
    Accepted: Jan. 26, 2016
    Published: Feb. 16, 2016
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    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... Show More
  • 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: Jan. 08, 2016
    Accepted: Jan. 30, 2016
    Published: Feb. 25, 2016
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    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 ... Show More