1,*
Ibrahim Abdullahi, 2M.Z. Shehu & 3Murtala Umar
1,2,3Department of Mathematics,
Sokoto State University, Sokoto, Nigeria *Corresponding author Email: [email protected]
Page Number: 265-280
This work developed and examined a mathematical model of the transmission dynamics of tuberculosis
case detection. The model's practicable invariant region/positivity solution was discovered. The model's
existence and uniqueness were established. The next generation approach is used to determine each
model's fundamental reproduction rate. Nonetheless, the differential transform method (DTM) was used
to solve the model, which was a set of first order nonlinear differential equations. In presenting an
approximate solution to the model, the graphical comparison of the findings with the fourth-order
Runge-Kutta (RK4) method is very successful and trustworthy.
keywords: Tuberculosis, Reproductive Number and Differential Transform Method
Contaminant transport modelling used in MT3D is the same in the MODFLOW model when
the MODFLOW model is successfully run and calibrated in hydraulic head, all data in
MODFLOW are converted to MT3D package in order to deal with contaminant transport
modeling in groundwater. The objectives of the study are to i).apply M3TD package as tools to
establish the conceptual model of contaminant transport modeling, ii).simulate and predict the
arsenic and copper substances contamination in groundwater. Conceptual model was developed
by consists of i, j and k in the model Fig.3. Consequently, grid model encloses with 89 rows,
53 column and 4 layers, the length are 2650 m and 4450 m in x and y, respectively, Based on
the result of the model, 0.067 mg/l of arsenic concentration is considered as point source of
contaminant at borehole MB52 is transported with simulation time 10 years decreased to
0.000037 mg/l. The initial concentration copper is 142.95 mg/l at point source at borehole
MB48, which is reduced to 2.192 mg/l after10 years simulation.
keywords: Groundwater, Finite Different Method, MODFLOW, MT3D, Calibration.
A function say,
a:V(G)->{k+0, k+1, k+2, ...k+y}
for an undirected graph G = (V, E) Where V & E
have x vertices & y edges respectively is called Power – 3 Heronian – k Mean Labeling of a graph. A
graph which owns Power – 3 Heronian – k Mean Labeling is known as Power – 3 Heronian - k Mean
Labeling Graph. Here we have discussed Power – 3 Heronian - k Mean Labeling of some standard graphs
like Path Pn, Comb Pn ʘ K1, Triangular Snake Tn and Quadrilateral Snake Qn
keywords: Power- 3 Heronian – k Mean Graph, Path, Comb, Triangular Snake and
Quadrilateral
Snake
The studies of graph, structure and mathematical molecule have pair wise relationship among each other
is said to be the graph theory. It is an important part of discrete mathematics, which is made up of by
vertex called the nodes or points and edges so called links or lines, if the graph has symmetrically
lines or
links, created as a undirected graph whereas the links joined asymmetrically creates direct graph. There
are so many kinds of graph; Hypo-Hamiltonian graph has its own identity it can be defined as a graph if
it
has not itself a Hamiltonian cycle but each graph developed by eliminating with a single vertex from the
graph is Hamiltonian.Naeem Ahmed Kalhoro has worked on “A Two-Connected Graph with Gallai’s
Property”In his research paper he has applied the property and has found the longest path and cycle in
the
graph which contains 12 vertices and in the modification of above work we have developed a graph on 18
vertices and have tried to find the longest cycle and path in the proposed graph.
keywords: Graph Theory, Hypo-Hamiltonian, Hypo-Traceable, Hamiltonian, Gallai’s
Property
This study was conducted to find out the level of computer literacy among students of college of
health technology. Three research questions were raised for answering and three null hypotheses are
formulated to guide the study. Descriptive survey design was used in which 2,204 students of college
of health sciences and technology, Jega constituted the study’s population. The sample of the study is
drawn from seven Departments of the school with total sum of three hundred and twenty-seven (327)
using Krejcie & Morgan, 1970 table. The instrument used for the study was a questionnaire and two
hundred and eighty-three (283) were returned, consisting of 180 males and 103 females. The
instrument was validated by experts and test-retest method was employed in determining the
reliability coefficient. Sperman's rank-order coefficient was used and 0.71 was achieved, making the
instrument legitimate for usage. Simple percentages, mean and SD were used to analyse the data
obtained. It was found that majority of the students got access to computer from neighbours and
friends rather than school. The study further revealed that students of college of health sciences and
technology in Kebbi state possess an average level of computer literacy. It was recommended that
computers and ICT facilities and services should be provided in our institutions
keywords:Computer literacy, health technology, empirical investigation
This present paper is devoted to investigate the magneto hydrodynamic Flow of Third Grade
Fluid in a cylindrical pipe with isothermal wall and Joule heating. The flow field of a third grade
non-Newtonian fluid in a cylinder has been considered in the presence of magnetic field. The
analysis is based on regular perturbation technique and results show that increase in the
Brinkmann and Eckert numbers enhance the temperature of the cylinder, while the third grade
and magnetic field parameters lower the temperature of the system. The third grade parameter
hastens the increase in the flow rate
keywords: Incompressible MHD, isothermal wall, Joule heating
It will be shown that find an approximate solution 𝑦(𝑥) in 𝐿
2
[0, ∞) of one nonlinear Volterra equation
integral can be solved applying the techniques of inverse generalized moments problem in two steps
writing
the Volterra's equation as a Klein-Gordon equation of the form 𝑤𝑥𝑥 − 𝑤𝑡𝑡 = 𝐻(𝑥,𝑡), which
𝐻(𝑥,𝑡) it is
unknown and 𝑤(𝑥,𝑡) = 𝑦(𝑥)ℎ(𝑡) where ℎ(𝑡) = (𝑡(𝑇 − 𝑡))
2
; 0 ≤ 𝑡 ≤ 𝑇. In a first step, 𝐻(𝑥,𝑡) is
numerically approximate, and in a second step we numerically approximate the solution 𝑦(𝑥) using the
𝐻(𝑥,𝑡) previously approximated. The method is illustrated with examples
keywords: Klein-Gordon, nonlinear Volterra integral equations, generalized moment problem, inverse
problem.
This paper uses natural language processing to study the biasprevalent in the content published
by various media sources. Deep learning models for natural language processing have proved
effective at incorporating the complicated nuances of languageand therefore predicting the
correct sentiment. Iyer et al. (2014) have used recursive neural networks (RNNs) for the
sentential level of political ideology detection. Inspired by their work, this paper deals with
recursive neural network models to develop two classifiers: technology determinism vs.
skepticism and pro-versus- anti-policy attitudes. In this paper, deep-learning-powered stance
detection classifiers have been built for which in-house datasets have been created and annotated
keywords: RNN, Classifier, NLTK, Entity, Policy, News articles
The main objective of this paper is to introduce the concept Intuitionistic b # -open sets in intuitionistic
topological spaces. Various properties and characteristics are given
keywords: Intuitionistic b-open sets, Intuitioistic b-closed sets, Intuitionistic b# -open sets.
Based on prior interactions between users and service items, recommendation systems have developed
into practical tools for filtering and obtaining vital data. These systems are often used in a range of
commercial industries, including e-commerce, tourism, social networking, and academic research.
Collaborative filtering, content-based filtering, and hybrid recommender systems are the three main
categories of recommender systems. Collaborative filtering recommender systems, which presume that
users would be interested in products that users similar to them have highly rated, take into consideration
users' tastes (in terms of item preferences). Content-based filtering recommender systems base their
recommendations on the textual content of a product, using the assumption that customers would prefer
items that are similar to those they have previously enjoyed. In a hybrid recommender system, two
techniques are combined. These systems struggle with scalability, data sparsity, and cold starts, which
leads to low-accuracy prediction and coverage. In this study, we proposed a unique recommendation
method and applied the sigmoid function to the Jaccard similarity index. In our proposed method, which
included the rating significance of items, we used the sigmoid function on the Jaccard similarity index to
evaluate the asymmetry relationship between users. The similarity between the target user and his or her neighbours is then assessed using the asymmetric association and rating significance. Several cuttingedge similarity metrics are evaluated using experiments on three real-world data sets. The results show
that the new similarity model performs better than the baseline models in terms of diversity and prediction
accuracy.
keywords: Recommender System, Accuracy, Diversity, Sigmoid function, Jaccard Similarity coefficient
1Research Scholar, Department of Mathematics,
Sido Kanhu Murmu University, Dumka,
and Assistant Professor, Department of Basic Science
& Humanities, Dumka Engineering College,
Dumka, Jharkhand-814101 India
2Associate Professor, Department of Mathematics,
Sido Kanhu Murmu University,
Dumka, Jharkhand-814101, India
Fluid Mechanics riches with the different applications of Dynamical systems, having applications towards
the flow patterns and flow characters. A wide variety of modelling and structural dynamics have been
studied in the vicinity of research on stenosis or cardio-vascular disorders. Mainly the in-growth of tissues
in the inner arterial wall causes for different fatal diseases like coronary thrombosis, Atherosclerosis. Here
the flow characters are modelled with respect to the various phenomena in view of mathematical analysis.
The axisymmetric flow patterns are considered with wide outline to estimate the flow patterns in the
effected arteries on the basis of irregularity of plaque formation. The formation of three-dimensional mild
casting is analyzed so that the problem becomes realistic in physiological approach. Here the theoretical
investigation of fluid dynamical systems is based on Casson fluid model and Herschel Bulkley fluid Model
in a comparative way.
keywords: Blood flow, Velocity, Overlapping Stenosis, Herschel Bulkley fluid Model, Casson fluid
model.
