## Abstract

Epidemiological models play an important role in the study of diseases. These models belong to population dynamics models and can be characterized with differential equations. In this paper we focus our attention on two epidemic models for malaria spreading, namely Ross-, and extended Ross model. As both the continous and the corresponding numerical models should preserve the basic qualitative properties of the phenomenon, we paid special attention to its examination, and proved their invariance with reference to the data set. Moreover, existence and uniqueness of equilibrium points for both models of malaria are considered. We demonstrate the theoritical results with numerical simulations.

## Abstract

In this note we study the analytic continuation of the Apostol-Vu multiple Fibonacci zeta functions

*s*

_{1}, . . .,

*s*

_{k}_{+1}are complex variables and

*F*is the

_{n}*n*-th Fibonacci number. We find a complete list of poles and their corresponding residues.

## Abstract

This article is a research on the effect of material segregations due to squeeze parameters on mechanical properties of high pressure die cast parts. The technology of squeezing is applied in high pressure die casting technology with the aim to improve the internal material health of the castings from aluminium alloys, such as AlSi9Cu3(Fe), components incorporated in assemblies as mechanical and hydraulic parts. The objective of this article is to determinate the influence of the secondary effects of squeeze technology on the mechanical properties of parts produced from AlSi9Cu3(Fe) alloys, with HPDC technology.

## Abstract

This note is written to show that the definition of the LA- Ξ -hypersemi-group and the definition of the ordered LA- Ξ -hypersemigroup in [2] should be corrected and that it is not enough to replace the βΞβ of the ordered LA-Ξ-semigroup by ββ¦ Ξ β¦β to pass from an ordered LA- Ξ -semigroup to an ordered LA- Ξ -hypersemigroup. The definition of the (*m,n*)- Ξ -hyperideal and the strange symbols used throughout the paper have no sense as well.

## Abstract

The purpose of this paper is to show the integral form of an algebraic inequality and to give some applications.

## Abstract

This paper deals with the design of metamaterial (MTM) substrates to be used in electromagnetic devices. In particular, the approach has been considered for different investigations having the scope the realization of antennas on flexible substrates. The importance of the topic resides in the potential of conforming the antenna to/on desirable shapes. Flexibility is well exploitable either in advanced communication systems or in biomedical applications, just to mention some. The proposed MTM is made of metallic spherical inclusions of AISI52100, which are embedded in a polymer host. The paper aims to assess the feasibility of increasing the performance of a microstrip patch antenna, and to decrease its size by using the MTM substrate, which is able to locally control the permittivity of the substrate and to create electromagnetic band-gap regions outside of the patch.

## Abstract

We provide some properties of maximal B* _{p}*-subalgebras of B-algebras. In particular, we show that for each prime

*p*, a finite B-algebra has a maximal Bp-subalgebra. We also show that for a finite B-algebra of order

*p*

^{r}

*m*, where (

*p, m*) = 1, any two maximal B

*-subalgebras are conjugate and the number of maximal B*

_{p}*-subalgebras is*

_{p}*kp*+ 1 for some

*k*β π

^{+}.

## Abstract

The main purpose of this paper is to provide an effective content of theory of ternary semigroups with involution by applying soft set theory concepts. In this paper, we introduce some basic terms and definitions of different ideals in ternary semigroups with involution. Further, we define soft ideals and soft filters in ternary semigroups with involution, and show how a soft set effects on a ternary semigroup with involution with the help of intersection and insertion of sets. We explore some properties using involution theoretic concepts in ternary semigroups for soft ideals and soft filters.

## Abstract

Let π be a ring with center *Z*(π). A mapping *f* : π β π is said to be strong commutativity preserving (SCP) on π if [*f* (*x*), *f* (*y*)] = [*x, y*] and is said to be strong anti-commutativity preserving (SACP) on π if *f* (*x*) β¦ *f* (*y*) = *x* β¦ *y* for all *x, y* βπ. In the present paper, we apply the standard theory of differential identities to characterize SCP and SACP derivations of prime and semiprime rings.