In this paper, a fractional-order model for the spread of computer viruses with saturated treatment rate is presented. This model consists of three components: Susceptible, Infectious, and Recovered. The SIR epidemic model with saturated treatment rate is considered. The stability of the disease free and endemic equilibrium points are studied. The global stability of the disease free equilibriu...

We consider the problem of inferring a tree with positive weight edges on a set X from a dissimilarity measure on X. This problem arises in classiication and more precisely in evolutionary biology, where we try to estimate the evolutionary tree, or phylogeny, of a set of species. Several studies recently put the emphasis on inferring trees containing reliable edges 6, 16]. A method rst proposed...

Model gerak osilasi vertikal dan torsional merupakan model yang menggambarkan pada batang digantung. Gerak naik turun suatu benda terjadi terus berulang, kemudian waktu tertentu akan berhenti atau mengalami redaman. getaran sudut dari objek rotasi. dasarnya sistem persamaan diferensial orde dua. Tujuan penelitian ini adalah untuk mengetahui solusi numerik menggunakan metode Adams-Bashforth-Moul...

In the literature, various types of parallel methods for integrating nonsti initial-value problems for rst-order ordinary di erential equation have been proposed. The greater part of them are based on an implicit multistage method in which the implicit relations are solved by the predictor–corrector (or xed point iteration) method. In the predictor–corrector approach the computation of the comp...

Given a complex m n matrix A; we index its singular values as 1 (A) 2 (A) ::: and call the value E (A) = 1 (A)+ 2 (A)+ ::: the energy of A; thereby extending the concept of graph energy, introduced by Gutman. Koolen and Moulton proved that E (G) (n=2) (1 + p n) for any graph G of order n and exhibited an in…nite family of graphs with E (G) = (v (G) =2) 1 + p v (G) . We prove that for all su¢ ci...

In this paper, we consider bifurcation from a circular cylindrical deformed configuration of a thick-walled circular cylindrical tube of incompressible isotropic elastic material subject to combined axial loading and external pressure. In particular, we examine both axisymmetric and asymmetric modes of bifurcation. The analysis is based on the three-dimensional incremental equilibrium equations...