1. Some Special Curves According to Bishop Frame in Euclidean Space E3

    Thiago Mendonca

    Departamento de Matematica, UFRPE, Rua Manoel de Medeiros, s/n – Dois Irm~aos, Recife – PE, 52171-900.

    Abstract: In this study, we analyze the correspondence between the Bishop frame, which is an alternative way of defining a moving frame in Euclidean 3-space, of a curve in E3 and its natural mate, conjugate (or adjoint) mate and Mannheim partner curves. We also obtain a relation between the respective Bishop curvatures for these curves.

    Keywords: Bishop frame, Bishop curvatures, Natural mate curves, Conjugate mate curves, Mannheim partner curves.

    Pages: 19 – 25 | Full PDF Paper
  2. Global stability properties of virus dynamics discrete models

    Kaori Saito1, Yoshihiro Hamaya2

    1. Department of Business Administration, Meisei University, 2-1-1 Hodokubo, Hinoshi, Tokyo 191-8506, Japan. E-mail: kaori.saito@meisei-u.ac.jp
    2. Graduate School of Informatics, Okayama University of Science 1-1 Ridai-cho, Kitaku, Okayama 700-0005, Japan.

    Abstract: A sufficient condition for the global stability of positive equilibrium points of the difference equation, which appears as a model for basic virus dynamics, is obtained by applying the technique of Liapunov functions.

    Pages: 26 – 39 | Full PDF Paper