Mathematical Modelling and Applications

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: May 16, 2017
    Accepted: Aug. 24, 2017
    Published: Sep. 26, 2017
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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
  • Explicit Equations to Transform from Cartesian to Elliptic Coordinates

    Che Sun

    Issue: Volume 2, Issue 4, August 2017
    Pages: 43-46
    Received: Jan. 16, 2017
    Accepted: Jan. 25, 2017
    Published: Oct. 31, 2017
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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.