##### Pullback Absorbing Set for the Stochastic Lattice Selkov Equations

Li Hongyan

Asian Research Journal of Mathematics, Page 1-7
DOI: 10.9734/arjom/2019/v14i130116

Aims/ Objectives: To prove the existence of a pullback Absorbing set.
Study Design: Ornstein-Uhlenbeck process.
Place and Duration of Study: College of Management, Shanghai University of Engineering Science.
Methodology: A transformation of addition involved with an Ornstein-Uhlenbeck process is used.
Results: In this paper, pullback absorbing property for the stochastic reversible Selkov system in an innite lattice with additive noises is proved.

##### On Some Inequalities for the Chaudhry-Zubair Extension of the Gamma Function

Monica Atogpelge Atugba, Kwara Nantomah

Asian Research Journal of Mathematics, Page 1-9
DOI: 10.9734/arjom/2019/v14i130117

By applying the classical Holder's inequality, Young's inequality, Minkowski's inequality and some other analytical tools, we establish some inequalities involving the Chaudhry-Zubair extension of the gamma function. The established results serve as generalizations of some known results in the literature.

##### Analytical Study of a System of Difference Equation

Abdualrazaq Sanbo, Elsayed M. Elsayed

Asian Research Journal of Mathematics, Page 1-18
DOI: 10.9734/arjom/2019/v14i130118

We study the qualitative behavior of a predator-prey model, where the carrying capacity of the predators environment is proportional to the number of prey. The considered system is given by the following rational difference equations:

$$x_{n+1}=\dfrac{x_{n} y_{n-2}}{y_{n-1} + y_{n-2}},\quad y_{n+1}=\dfrac{y_{n} x_{n-2}}{\pm x_{n-1} \pm x_{n-2}},\quad n=0,1,\cdots,$$

where the initial conditions x-2; x-1; x0; y-2; y-1; y0 are arbitrary positive real numbers. Also, we give specic form of the solutions of some special cases of this equation. Some numerical examples are given to verify our theoretical results.

##### A Numerical Integrator for Oscillatory Problems

Yusuf Dauda Jikantoro, Yahaya Badeggi Aliyu, Aliyu Alhaji Ishaku Ma’ali, Abdulkadir Abubakar, Ismail Musa

Asian Research Journal of Mathematics, Page 1-10
DOI: 10.9734/arjom/2019/v14i130119

Presented here is a numerical integrator, with sixth order of convergence, for solving oscillatory problems. Dispersion and dissipation errors are taken into account in the course of deriving the method. As a result, the method possesses dissipation of order infinity and dispersive of order six. Validity and effectiveness of the method are tested on a number of test problems. Results obtained show that the new method is better than its equals in the scientific literature.

##### The Total Outer Independent Monophonic Dominating Parameters in Graphs

P. Arul Paul Sudhahar, A. J. Bertilla Jaushal

Asian Research Journal of Mathematics, Page 1-8
DOI: 10.9734/arjom/2019/v14i130120

In this paper the concept of total outer independent monophonic domination number of a graph is introduced. A monophonic set SÍV  is said to be total outer independent monophonic domination set if <S> has no isolated vertex and <V-S> is an independent set.