American Journal of Applied Mathematics

Volume 4, Issue 5, October 2016

  • Application of Fuzzy Data Fusion in Storage Environment Security Monitoring

    Depeng Fan, Shouhai Wang

    Issue: Volume 4, Issue 5, October 2016
    Pages: 197-203
    Received: 16 July 2016
    Accepted: 29 July 2016
    Published: 17 August 2016
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    Abstract: In this paper, fuzzy set theory and multi-sensor data fusion technology are combined and applied in the safety monitoring of the storage environment, this paper establishes the sensor information fusion model and colligate incomplete information collected by multiple sensors, and eliminating the possible redundant and contradictory information amon... Show More
  • Optimal Control of a Model of Gambiense Sleeping Sickness in Humans and Cattle

    Ndondo Mboma Apollinaire, Walo Omana Rebecca, Maurice Yengo Vala-ki-sisa

    Issue: Volume 4, Issue 5, October 2016
    Pages: 204-216
    Received: 5 July 2016
    Accepted: 18 July 2016
    Published: 31 August 2016
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    Abstract: Human African trypanosomiasis (HAT) generally known as sleeping sickness is a fatal parasitic disease which appears mostly in sub-Saharan Africa, threatening millions of people and animals. Sleep disorders are a major feature of the (most) advanced stage of the disease, when the central nervous system is affected. In the absence of treatment, the o... Show More
  • The Solution of Porous Medium Equation by Aboodh Homotopy Perturbation Method

    Mohand M. Abdelrahim Mahgoub, Abdelilah K. Hassan Sedeeg

    Issue: Volume 4, Issue 5, October 2016
    Pages: 217-221
    Received: 26 August 2016
    Accepted: 3 September 2016
    Published: 9 October 2016
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    Abstract: In this paper, the homotopy perturbation method (HPM) and Aboodh transform are employed to obtain analytical solution of the porous medium equation. The proposed method (ATHPM) is an elegant combination of the new integral transform “Aboodh Transform” and the homotopy perturbation method. The porous medium equations have importance in engineering a... Show More
  • Epidemic Model of HIV/AIDS Transmission Dynamics with Different Latent Stages Based on Treatment

    Ram Singh, Shoket Ali, Madhu Jain, Rakhee

    Issue: Volume 4, Issue 5, October 2016
    Pages: 222-234
    Received: 30 August 2016
    Accepted: 23 September 2016
    Published: 14 October 2016
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    Abstract: The mathematical model for analyzing the transmission dynamics of HIV/AIDS epidemic with treatment is studied by considering the three latent compartments for slow, medium and fast progresses of developing the AIDS. By constructing the system of differential equations for the different population groups namely susceptible, three types of latent ind... Show More
  • Mathematical Modeling of the Spread of HIV/AIDS by Markov Chain Process

    Rotich Kiplimo Titus

    Issue: Volume 4, Issue 5, October 2016
    Pages: 235-246
    Received: 6 September 2016
    Accepted: 23 September 2016
    Published: 15 October 2016
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    Abstract: The spread of the Human Immunodeficiency Virus (HIV) and the resulting Acquired Immune Deficiency syndrome (AIDS) is a major health concern. Mathematical models are therefore commonly applied to understand the spread of the HIV epidemic. In this study, HIV dynamics is analyzed using a Stochastic Discrete-Time Markov Chain Mathematical Model. Demogr... Show More
  • Homotopy Perturbation Transform Method for Solving Third Order Korteweg-DeVries (KDV) Equation

    Abdelilah Kamal Hassan Sedeeg

    Issue: Volume 4, Issue 5, October 2016
    Pages: 247-251
    Received: 4 September 2016
    Accepted: 26 September 2016
    Published: 18 October 2016
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    Abstract: In this paper, we develop a method to calculate approximate solution of some Third-order Korteweg-de Vries equations with initial condition with the help of a new method called Aboodh transform homotopy perturbation method (ETHPM). This method is a combination of the new integral transform “Aboodh transform” and the homotopy perturbation method. Th... Show More
  • Parameter Estimation of a DC Motor-Gear-Alternator (MGA) System via Step Response Methodology

    Wesley Koech, Titus Rotich, Fredrick Nyamwala, Samwel Rotich

    Issue: Volume 4, Issue 5, October 2016
    Pages: 252-257
    Received: 16 September 2016
    Accepted: 2 October 2016
    Published: 27 October 2016
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    Abstract: Mathematical models and their parameters are essential when designing controllers because they allow the designer to predict the closed loop behavior of the system. An accurate method for estimating the DC Motor-Gear-Alternator (MGA) system parameters is needed before constructing the reliable model. This paper proposed a new method of parameter es... Show More