American Journal of Applied Mathematics

Archive

Volume 1, Issue 1, April 2013

  • Modeling the Spread of Malaria in North-Eastern Nigeria: a Case Study of Adamawa State

    Adamu Abdul Kareem, Moses Vandi Tumba, Dang Bwebum Cleofas

    Issue: Volume 1, Issue 1, April 2013
    Pages: 1-7
    Published: 2 April 2013
    DOI: 10.11648/j.ajam.20130101.11
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    Abstract: This paper deals with modeling the spread of Malaria in Adamawa State of Nigeria. The simple SIR model and data obtained from the World Health Organization WHO, Adamawa was used to analyze the rate of infection of malaria in the state. It was discovered that > 0. Based on the principle of which states that when < 0, the infection will die out with a certainty, but if > 0, there will be a proper malari... Show More
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  • A Representation of Context-free Grammars with the Help of Finite Digraphs

    Krasimir Yordzhev

    Issue: Volume 1, Issue 1, April 2013
    Pages: 8-11
    Published: 2 April 2013
    DOI: 10.11648/j.ajam.20130101.12
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    Abstract: For any context-free grammar, we build a transition diagram, that is, a finite directed graph with labeled arcs, which describes the work of the grammar. This approach is new, and it is different from previously known graph models. We define the concept of proper walk in this transition diagram and we prove that a word belongs to a given context-fr... Show More
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  • Measuring the Forecast Performance of GARCH and Bilinear-GARCH Models in Time Series Data

    Akintunde Mutairu Oyewale, D. K. Shangodoyin, P. M Kgosi

    Issue: Volume 1, Issue 1, April 2013
    Pages: 17-23
    Received: 6 May 2013
    Published: 30 May 2013
    DOI: 10.11648/j.ajam.20130101.14
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    Abstract: In most of the literature in time series modeling, generalized autoregressive conditional heterosceasticity (GARCH) models has been used as a traditional model to forecast both the economic and financial time series data. Though literature has shown that it is not suitable for non-linear time series. For this reason, this model was augmented with b... Show More
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