American Journal of Applied Mathematics

Archive

Volume 5, Issue 3, June 2017

  • Specification of Fractional Poincare’ Inequalities for the Sequence Measures Generalization

    Abdelilah Kamal H. Sedeeg, Shawgy H. Abd Alla

    Issue: Volume 5, Issue 3, June 2017
    Pages: 57-67
    Received: 13 October 2016
    Accepted: 8 November 2016
    Published: 12 June 2017
    DOI: 10.11648/j.ajam.20170503.11
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    Abstract: The Fractional Poincare’ inequalities in Rn are endowed with a fairly general sequence measure. We show a control of L2 norm by a non–Local quantity. The assumption on the sequence measure is that it satisfies the classical Poincare’ inequality, with general results. We also verify quantity of the tightness at infinity provided by the control on th... Show More
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  • The Impact of Infective Immigrants on the Spread of Dog Rabies

    Aberu Mengistu Tulu, Purnachandra Rao Koya

    Issue: Volume 5, Issue 3, June 2017
    Pages: 68-77
    Received: 11 April 2017
    Accepted: 2 May 2017
    Published: 23 June 2017
    DOI: 10.11648/j.ajam.20170503.12
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    Abstract: In this paper, it is proposed and analyzed a new mathematical model and that is developed on the basis of some reasonable modification made to the standard epidemic model. The impact of immigration, treatment and the effect of vaccination are included in the model. The basic reproduction number is derived using the next generation matrix method. Di... Show More
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  • The Effect of Physical Parameters on Flow Variables of an Electrically Conducting Viscoelastic Fluid

    Binyam Zigta, Purnachandra Rao Koya

    Issue: Volume 5, Issue 3, June 2017
    Pages: 78-90
    Received: 14 April 2017
    Accepted: 27 April 2017
    Published: 23 June 2017
    DOI: 10.11648/j.ajam.20170503.13
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    Abstract: In this paper the effect physical parameters on flow variables of unsteady, incompressible, electrically conducting viscoelastic fluid flowing between a pair of infinite vertical Couette porous channel walls embedded in a porous medium is analyzed. A uniform magnetic field is applied perpendicular to the channel walls. The temperature of the moving... Show More
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  • Population Harvesting on both Prey and Predator

    Aynalem Berhanie Emru, Purnachandra Rao Koya, Mohammed Yiha Dawed

    Issue: Volume 5, Issue 3, June 2017
    Pages: 91-98
    Received: 29 April 2017
    Accepted: 8 May 2017
    Published: 29 June 2017
    DOI: 10.11648/j.ajam.20170503.14
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    Abstract: In this paper, the prey predator model as well as maximum sustainable yield has been discussed. Both prey and predator populations are considered to follow logistic law of growth. Both prey and predator harvesting or combined harvesting and maximum sustainable yield have been discussed. The maximum sustainable yield has been observed in two ways: a... Show More
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