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Mathematics, Volume 9, Issue 24

December-2 2021 - 182 articles

Cover Story: In this paper, we investigate the calibration of a mathematical model describing different behaviors occurring during a natural, a societal, or a technological catastrophe. This model was developed in collaboration with geographers and psychologists. To collect information on the level of stress, psychologists of the LPPL laboratory of Nantes (France) led virtual reality experiments. These experiments involved immersing individuals in a situation of catastrophe and measuring their electrocardiogram. From the physical and biological data collected, we present the methodology to calibrate the behavioral model. Through this work, we will show, from simulations, that the proposed system makes it possible to apprehend non-observable human processes. View this paper.
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Articles (182)

  • Article
  • Open Access
9 Citations
2,891 Views
15 Pages

An Oscillator without Linear Terms: Infinite Equilibria, Chaos, Realization, and Application

  • Othman Abdullah Almatroud,
  • Victor Kamdoum Tamba,
  • Giuseppe Grassi and
  • Viet-Thanh Pham

20 December 2021

Oscillations and oscillators appear in various fields and find applications in numerous areas. We present an oscillator with infinite equilibria in this work. The oscillator includes only nonlinear elements (quadratic, absolute, and cubic ones). It i...

  • Article
  • Open Access
11 Citations
3,460 Views
16 Pages

20 December 2021

We present some solutions of the three-dimensional Laplace equation in terms of linear combinations of generalized hyperogeometric functions in prolate elliptic geometry, which simulates the current tokamak shapes. Such solutions are valid for partic...

  • Article
  • Open Access
14 Citations
2,662 Views
20 Pages

20 December 2021

This paper is concerned with certain non-linear unperturbed and perturbed systems of integro-delay differential equations (IDDEs). We investigate fundamental properties of solutions such as uniformly stability (US), uniformly asymptotically stability...

  • Article
  • Open Access
22 Citations
4,568 Views
18 Pages

20 December 2021

The evaluation of corporation operation efficiency (especially innovation efficiency) has been always a hot topic. The currently popular evaluation methods are data envelopment analysis (DEA) and its improved methods. However, these methods have the...

  • Article
  • Open Access
6 Citations
2,629 Views
9 Pages

Hyers-Ulam Stability of Euler’s Equation in the Calculus of Variations

  • Daniela Marian,
  • Sorina Anamaria Ciplea and
  • Nicolaie Lungu

20 December 2021

In this paper we study Hyers-Ulam stability of Euler’s equation in the calculus of variations in two special cases: when F=F(x,y′) and when F=F(y,y′). For the first case we use the direct method and for the second case we use the La...

  • Article
  • Open Access
13 Citations
5,749 Views
18 Pages

20 December 2021

Machine learning has grown in popularity in recent years as a method for evaluating financial text data, with promising results in stock price projection from financial news. Various research has looked at the relationship between news events and sto...

  • Article
  • Open Access
8 Citations
2,904 Views
26 Pages

Finite-Time Passivity Analysis of Neutral-Type Neural Networks with Mixed Time-Varying Delays

  • Issaraporn Khonchaiyaphum,
  • Nayika Samorn,
  • Thongchai Botmart and
  • Kanit Mukdasai

20 December 2021

This research study investigates the issue of finite-time passivity analysis of neutral-type neural networks with mixed time-varying delays. The time-varying delays are distributed, discrete and neutral in that the upper bounds for the delays are ava...

  • Article
  • Open Access
3 Citations
2,340 Views
17 Pages

20 December 2021

We propose two Mann-type subgradient-like extra gradient iterations with the line-search procedure for hierarchical variational inequality (HVI) with the common fixed-point problem (CFPP) constraint of finite family of nonexpansive mappings and an as...

  • Article
  • Open Access
3 Citations
3,222 Views
9 Pages

A Mathematical Model for Early HBV and -HDV Kinetics during Anti-HDV Treatment

  • Rami Zakh,
  • Alexander Churkin,
  • William Bietsch,
  • Menachem Lachiany,
  • Scott J. Cotler,
  • Alexander Ploss,
  • Harel Dahari and
  • Danny Barash

20 December 2021

Hepatitis delta virus (HDV) is an infectious subviral agent that can only propagate in people infected with hepatitis B virus (HBV). HDV/HBV infection is considered to be the most severe form of chronic viral hepatitis. In this contribution, a mathem...

  • Article
  • Open Access
3 Citations
2,743 Views
17 Pages

20 December 2021

This study investigated the stability and bifurcation of a nonlinear system model developed by Marhl et al. based on the total Ca2+ concentration among three different Ca2+ stores. In this study, qualitative theories of center manifold and bifurcatio...

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Mathematics - ISSN 2227-7390Creative Common CC BY license