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Mathematics, Volume 3, Issue 4

2015 December - 15 articles

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Articles (15)

  • Article
  • Open Access
4 Citations
5,246 Views
19 Pages

Two Dimensional Temperature Distributions in Plate Heat Exchangers: An Analytical Approach

  • Amir Reza Ansari Dezfoli,
  • Mozaffar Ali Mehrabian and
  • Mohamad Hasan Saffaripour

16 December 2015

Analytical solutions are developed to work out the two-dimensional (2D) temperature changes of flow in the passages of a plate heat exchanger in parallel flow and counter flow arrangements. Two different flow regimes, namely, the plug flow and the tu...

  • Article
  • Open Access
8 Citations
3,927 Views
14 Pages

11 December 2015

We consider a mosquito-borne epidemic model, where the adoption by individuals of insecticide–treated bed–nets (ITNs) is taken into account. Motivated by the well documented strong influence of behavioral factors in ITNs usage, we propose a mathemati...

  • Article
  • Open Access
7 Citations
3,770 Views
19 Pages

Robust Finite-Time Anti-Synchronization of Chaotic Systems with Different Dimensions

  • Israr Ahmad,
  • Azizan Bin Saaban,
  • Adyda Binti Ibrahim and
  • Mohammad Shahzad

8 December 2015

In this paper, we demonstrate that anti-synchronization (AS) phenomena of chaotic systems with different dimensions can coexist in the finite-time with under the effect of both unknown model uncertainty and external disturbance. Based on the finite-t...

  • Article
  • Open Access
1 Citations
3,594 Views
21 Pages

3 December 2015

An explicit method for the construction of a tight wavelet frame generated by the Walsh polynomials with the help of extension principles was presented by Shah (Shah, 2013). In this article, we extend the notion of wavelet frames to periodic wavelet...

  • Article
  • Open Access
5 Citations
5,019 Views
32 Pages

HIV vs. the Immune System: A Differential Game

  • Alessandra Buratto,
  • Rudy Cesaretto and
  • Rita Zamarchi

3 December 2015

A differential game is formulated in order to model the interaction between the immune system and the HIV virus. One player is represented by the immune system of a patient subject to a therapeutic treatment and the other player is the HIV virus. The...

  • Article
  • Open Access
4,531 Views
12 Pages

24 November 2015

We investigate various scenarios for ending the San Francisco MSM (men having sex with men) HIV/AIDS epidemic (1978–1984). We use our previously developed model and explore changes due to prevention strategies such as testing, treatment and reduction...

  • Article
  • Open Access
22 Citations
5,671 Views
14 Pages

6 November 2015

In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function. In this present paper, we extend the generalized Mittag–Leff...

  • Article
  • Open Access
2 Citations
4,569 Views
24 Pages

5 November 2015

Many quantum systems admit an explicit analytic Fourier space expansion, besides the usual analytic Schrödinger configuration space representation. We argue that the use of weighted orthonormal polynomial expansions for the physical states (generated...

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Mathematics - ISSN 2227-7390