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Mathematics, Volume 6, Issue 9

September 2018 - 31 articles

Cover Story: In this article, we study the asymptotic stability of the nontrivial endemic equilibrium of an age-structured susceptible-infective-recovered epidemic model by reducing the model into a system of ordinary differential equations. We show that the endemic equilibrium uniquely exists if the basic reproduction number is greater than the unity. Furthermore, we numerically show that the Routh-Hurwitz criterion is satisfied and, thus, the endemic equilibrium is asymptotically stable for some epidemiologically realistic parameters. View this paper.
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Articles (31)

  • Article
  • Open Access
18 Citations
3,399 Views
14 Pages

Computing Eccentricity Based Topological Indices of Octagonal Grid O n m

  • Xiujun Zhang,
  • Muhammad Kamran Siddiqui,
  • Muhammad Naeem and
  • Abdul Qudair Baig

31 August 2018

Graph theory is successfully applied in developing a relationship between chemical structure and biological activity. The relationship of two graph invariants, the eccentric connectivity index and the eccentric Zagreb index are investigated with rega...

  • Article
  • Open Access
11 Citations
4,428 Views
14 Pages

Computing The Irregularity Strength of Planar Graphs

  • Hong Yang,
  • Muhammad Kamran Siddiqui,
  • Muhammad Ibrahim,
  • Sarfraz Ahmad and
  • Ali Ahmad

30 August 2018

The field of graph theory plays a vital role in various fields. One of the important areas in graph theory is graph labeling used in many applications such as coding theory, X-ray crystallography, radar, astronomy, circuit design, communication netwo...

  • Article
  • Open Access
1 Citations
3,177 Views
9 Pages

30 August 2018

The paper is devoted to inverse Stackelberg games with many players. We consider both static and differential games. The main assumption of the paper is the compactness of the strategy sets. We obtain the characterization of inverse Stackelberg solut...

  • Article
  • Open Access
3,069 Views
16 Pages

29 August 2018

The concepts of a positive implicative ( ∈ , ∈)-intuitionistic fuzzy ideal and a positive implicative falling intuitionistic fuzzy ideal are introduced, and several properties are investigated. Characterizations of a positive implica...

  • Article
  • Open Access
12 Citations
6,210 Views
12 Pages

Kinematics in the Information Age

  • Brendon Smeresky,
  • Alexa Rizzo and
  • Timothy Sands

27 August 2018

Modern kinematics derives directly from developments in the 1700s, and in their current instantiation, have been adopted as standard realizations…or templates that seem unquestionable. For example, so-called aerospace sequences of rotations ar...

  • Feature Paper
  • Article
  • Open Access
21 Citations
6,670 Views
24 Pages

23 August 2018

We review several generalizations of the concept of fuzzy sets with two- or three-dimensional lattices of truth values and study their relationship. It turns out that, in the two-dimensional case, several of the lattices of truth values considered he...

  • Article
  • Open Access
9 Citations
7,180 Views
10 Pages

23 August 2018

In this paper, we are concerned with the asymptotic stability of the nontrivial endemic equilibrium of an age-structured susceptible-infective-recovered (SIR) epidemic model. For a special form of the disease transmission function, we perform the red...

  • Article
  • Open Access
31 Citations
4,628 Views
10 Pages

Edge Irregular Reflexive Labeling for the Disjoint Union of Gear Graphs and Prism Graphs

  • Xiujun Zhang,
  • Muhammad Ibrahim,
  • Syed Ahtsham ul Haq Bokhary and
  • Muhammad Kamran Siddiqui

21 August 2018

In graph theory, a graph is given names—generally a whole number—to edges, vertices, or both in a chart. Formally, given a graph G = ( V , E ) , a vertex naming is a capacity from V to an arrangement of marks. A diagram with such a...

  • Article
  • Open Access
3,892 Views
24 Pages

A Within-Host Stochastic Model for Nematode Infection

  • Antonio Gómez-Corral and
  • Martín López-García

21 August 2018

We propose a stochastic model for the development of gastrointestinal nematode infection in growing lambs under the assumption that nonhomogeneous Poisson processes govern the acquisition of parasites, the parasite-induced host mortality, the natural...

  • Article
  • Open Access
5 Citations
4,866 Views
12 Pages

Stability Analysis of Cohen–Grossberg Neural Networks with Random Impulses

  • Ravi Agarwal,
  • Snezhana Hristova,
  • Donal O’Regan and
  • Peter Kopanov

21 August 2018

The Cohen and Grossberg neural networks model is studied in the case when the neurons are subject to a certain impulsive state displacement at random exponentially-distributed moments. These types of impulses significantly change the behavior of the...

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Mathematics - ISSN 2227-7390