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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
8 Citations
3,280 Views
16 Pages

19 September 2018

A single constrained ordered weighted averaging aggregation (COWA) problem is of considerable importance in many disciplines. Two models are considered: the maximization COWA problem with lower bounded variables and the minimization COWA problem with...

  • Article
  • Open Access
13 Citations
3,419 Views
21 Pages

Almost Periodic Solutions of First-Order Ordinary Differential Equations

  • Seifedine Kadry,
  • Gennady Alferov,
  • Gennady Ivanov and
  • Artem Sharlay

17 September 2018

Approaches to estimate the number of almost periodic solutions of ordinary differential equations are considered. Conditions that allow determination for both upper and lower bounds for these solutions are found. The existence and stability of almost...

  • Feature Paper
  • Article
  • Open Access
29 Citations
4,848 Views
44 Pages

14 September 2018

Recent cyberattacks against industrial control systems highlight the criticality of preventing future attacks from disrupting plants economically or, more critically, from impacting plant safety. This work develops a nonlinear systems framework for u...

  • Article
  • Open Access
9 Citations
3,743 Views
17 Pages

Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration

  • Ekaterina Gromova,
  • Anastasiya Malakhova and
  • Arsen Palestini

11 September 2018

A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the cumulative distribution function (c.d.f.) of the final time is discontinuous, the related subgames are differentiated based...

  • Article
  • Open Access
3,253 Views
18 Pages

11 September 2018

In this paper, by transforming the given over-determined system into a square system, we prove a necessary and sufficient condition to certify the simple real zeros of the over-determined system by certifying the simple real zeros of the square syste...

  • Article
  • Open Access
3 Citations
3,352 Views
15 Pages

10 September 2018

The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found. The generalized Legendre transformation a...

  • Article
  • Open Access
6 Citations
5,994 Views
24 Pages

10 September 2018

Data envelopment analysis has been applied in a number of papers to measure the performance of mutual funds, besides a great many applications on the more diverse fields of performance evaluation. The data envelopment analysis models proposed in the...

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Mathematics - ISSN 2227-7390