Mathematical Modelling and Applications

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Volume 2, Issue 4, August 2017

  • Global Asymptotic Stability Analysis of Predator-Prey System

    Ahmed Buseri Ashine

    Issue: Volume 2, Issue 4, August 2017
    Pages: 40-42
    Received: 16 May 2017
    Accepted: 24 August 2017
    Published: 26 September 2017
    DOI: 10.11648/j.mma.20170204.11
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    Abstract: In this paper, a predator-prey model with Holling type II response function is proposed and analyzed. The model is characterized by a couple of system of first order non-linear differential equations. The objective of the work is to offer mathematical analysis of such model. The equilibrium points are computed, boundedness and criteria for stabilit... Show More
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  • Explicit Equations to Transform from Cartesian to Elliptic Coordinates

    Che Sun

    Issue: Volume 2, Issue 4, August 2017
    Pages: 43-46
    Received: 16 January 2017
    Accepted: 25 January 2017
    Published: 31 October 2017
    DOI: 10.11648/j.mma.20170204.12
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    Abstract: Explicit equations are obtained to convert Cartesian coordinates to elliptic coordinates, based on which a function in elliptic coordinates can be readily mapped in physical space. Application to Kirchhoff vortex shows that its elliptical core induces two counter-rotating irrotational eddies.
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