Asian Journal of Mathematical Sciences(AJMS)

A STATISTICAL SURVEY ON DETERMINANTS OF MARITAL INSTABILITY IN NORTH EASTERN REGION OF NIGERIA

2024-04-08T09:43:05+00:00

Marital instability has hampered the growth and progress of many homes and children in Nigeria and is
caused by a variety of problems, including poverty, impotency, parental influence, lack of trust, and so
on. Its effects on children are numerous, including peer group influence, illiteracy, and lack of love. The
research's goal is to conduct a survey and fit a model that will describe the pattern of marriage instability
in Nigeria in order to identify the factors that trigger marriage instability in Nigeria. In order to get
pertinent data about the overall attitudes of women and men in certain local government areas of states in
the North Eastern region of Nigeria toward the causes of divorce among couples, questionnaires and inperson
interviews were conducted with them. The number of unions, wealth (Rich, Middle, and Poor),
religion (Islam, Christianity, and Traditional), partners' education level (No education, Primary,
Secondary, and Tertiary), work at home (Away or At home), beating the wife when she declines sex (Yes
or No), partner's fatigue/mood (Yes or No), fertility preference (Fertile, Sterilized, and Not Fertile),
spouse's income, etc. are just a few of the categorical variables that were taken into account. The results
revealed that every factor found in this study is important for marriage instability in North eastern region
of Nigeria. According to the baseline survey respondents' breakdown, over 50% of respondents testified
that infertility, beatings, sex satisfaction, partners arriving home late, and quitting or not working are the
main causes of marital instability in the region.

APPLICATION OF NON-LINEAR EVOLUTION STOCHASTIC EQUATIONS WITH ASYMPTOTIC NULL CONTROLLABILITY ANALYSIS

2024-04-08T09:46:19+00:00

This paper investigated system of stochastic differential equations with prominence on disparities of drift
parameters. These problems were solved analytical by adopting the Ito’s method of solution and three
different investment solutions were obtained consequently. The necessary conditions were achieved
which govern various drift parameters in assessing financial markets. Therefore, the impressions on each
solution of investors in financial markets were analyzed graphically. Secondly, stock price data of
Transco, LTD were analyzed which covariance matrix were considered and analysis were logically
extended to stochastic vector differential equation where control measures were incorporated that would
help in predicting different stock price processes, and the result obtained by exploring the properties of
the fundamental matrix solution where asymptotic null controllability results were obtained by the
singularity of the controllability matrix a function of the drift. Finally, the effects of the significant
parameters of stochastic variables were successfully discussed.

MAGNETOHYDRODYNAMIC BIOCONVECTION FLOW OF WALTER’S – B NANOFLUID OVER AN EXPONENTIALLY STRETCHING SURFACE

2024-04-08T09:49:14+00:00

The combination of nanofluids and bioconvection has a wide range of applications in biological systems,
agriculture, pharmaceuticals, biotechnology and industrial applications. This paper presents a numerical
analysis of the Magnetohydrodynamic bioconvection flow of a two-dimensional, steady, incompressible
Walter’s – B nanofluid flow in the presence of gyrotactic microorganisms over an exponentially
stretching surface. The Buongiorno model together with the Boussinesq approximation is adopted and
takes into account the effects of Brownian motion and thermophoresis in formulating the fluid flow
governing equations. The governing equations are non-dimensionalised using appropriate similarity
transformations. The resulting first-order ordinary differential equations are numerically solved using the
Shooting Technique together with the fourth-order Runge-Kutta method. Simulation of the model and
investigation of the effects of pertinent parameters on the fluids’ temperature, velocity, nanomaterial
concentration and dimensionless motile microorganism density is carried out using MATLAB bvp4c. It is
observed that the velocity field is enhanced with the Weissenberg number, Brownian motion parameter
and Grashof number but reduced with the Buoyancy ratio parameter and Thermophoretic parameter. The
temperature profiles increased with Brinkman number and Hartmann number nevertheless, the Prandtl
number has the opposite effect. The nanomaterial concentration and motile microorganisms’ density
profiles enhanced subject to Buoyancy ratio parameter, however, the Bioconvection Peclet number and
Bioconvection Lewis parameter have bi-influence toward motile microorganisms’ density profile.

SUM OF PRIME NUMBERS

2024-04-08T09:56:40+00:00

The author has been researching on the topic for many years, indicated in the title. He published the
results of his research that shown at the end of the review under the "Resources" heading. Primary goal,
which is a proof of the binary or strong Goldbach problem. From[1-10] in the resources the ternary
Goldbach problem is taken as a basis, which was reportedly finally resolved in 2013, which is not is
currently confirmed. At the same time, the author admits his incorrect solution to the proof of a binary
problem in a number of publications[5],[6] and others, which are detailed in section 2.1.Recent publications
[11, 12] in the opinion of the author are universal and not are not tied to Goldbach's ternary problem, but
vice versa proves it. In section 2.3 the author will show two possible proofs. And in conclusion, a new
formulation regarding the sum of n prime numbers.