Samuel H. Tsok

Plateau State University · Department of Mathematics

This study focuses on the pervasive issue of illicit drug use, which poses a substantial threat to public health and society. It aims to create a comprehensive mathematical model that captures the dynamics of drug use, including susceptible individuals, exposed individuals, addicts, and those in recovery. The model considers that recovered individu...

In this work, we formulate a deterministic mathematical model that aims at controlling and preventing terrorism in a population. The model incorporates the prevention of the spread of terrorists in the population by imprisoning individuals caught in the act and allows for natural repentance from terrorism. The main aim of the study is to assess the...

Corruption is a global menace that undermines the foundations of societies, including the rule of law, fairness, human rights, democracy, and economic growth. This research aims to comprehensively understand the dynamics of corruption and explore strategies for its prevention and control. Specifically, it focuses on the re-integration of individual...

Let p be an odd prime number. This work applies some group concepts to construct the Wreath Product of two permutation groups of prime degrees. We used numerical approach to investigate and determine the primitive and regular nature of the constructed Wreath Product Group of degree 5p. We apply Computational Group Theory (GAP) to facilitate as well...

Jelten B. Naphtali has achieved the minimum number of irreducible representations of finite non abelian groups using the centre. Also, Naphtali et al have determined the representation of finite 2-groups with minimum centre using the degree equation. In this paper we determine the irreducible representations of finite p-groups with maximum centre w...

Ourmainconcern, in this paper is how group theory quietly involve in decision making , Problem solving and critical thinking in games which could also be helpful to organizational management, policy making, Politics, Business, Science, Health care , Career choice and many other fields, yet unknowingly to many. We show in this work how Group theory...

In this paper, we succinctly presented that information transmission satisfies the properties of metric space. The space of information source is infact a metric space to which a geometric picture can be ascribed. Much more in error-control codes, the measure of comparing two codes words of equal length is the hamming distance-is obviously a metric...

The paper introduced Colors in general and how they affect us and the environment. This work used set theory to explain the concept of Color mixing. The idea of set can be very useful to model colors; we here consider additive and Subtractive color mixing, for better understanding of the subject.

s Graphs are extensively used to model social structures based on different kinds of relationships between people or groups of people. Facebook can conveniently be modelled using graphs, the connection between individuals in Facebook media can be described using graphs, ranging from two individuals connected, communication between different Faceboo...

S Graphs are extensively used to model social structures based on different kinds of relationships between people or groups of people. WhatsApp media can conveniently be modelled using graphs, the connection between individuals in WhatsApp media can be described using graphs ranging from two individuals connected and communicating to different What...

Trigonometric functions are basic mathematical objects that all students and academics at different level of education who are studying science and engineering try to tame. Usually, referring to them brings to mind difficulties of memorizing connections linking them. This paper discusses how a basic tool “super hexagon”, a hexagonal diagram whos...

Pre-National Diploma (Pre-ND) programmes serves as a preparatory stage for students to gain admission,

For more than a decade, there has been substantial interest in testing for the validity of the Purchasing Power Parity (PPP) statistically. This paper utilised a series of statistical tests to ascertain if the PPP theory is valid for a group of five Southeast Asian countries from 2000 to 2016 using monthly data. For this purpose, we conducted four...

This paper examined if the purchasing power parity (PPP) theory exists with asymmetric adjustment in Nigeria by using asymmetric cointegration approach of Enders and Siklos (TAR and MTAR). Results of the threshold cointegration tests revealed evidence of long run PPP with asymmetric adjustment in Nigeria. The asymmetric error correction model revea...

This book covers key areas of mathematics and computer science. The contributions by the authors include electrostatic effect, Gibbs energy principal, equilibrium theory, Lyapunov function, Global stability, area preserving map, Birkho normal form, KAM theorem, synthetic tableaux, principle of bivalence, cut; first-order theory, universal axiom, co...

This paper critically analysis the behavior and the relationship that exist between musical notes and group theory. The musical notes form additive abelian group modulo 12. Finally, the work came up with some propositions due to the musical notes behavior and their proofs one of which was name Dido's Theorem.

Sickle cell disease (SCD) is the commonest monogenetic disease worldwide and its greatest burden found in Sub-Saharan Africa especially Nigeria. Genotype test before contracting marriages has become very imperative because of the danger it poise on the couples, the offspring and in fact the society at large. This work used Cartesian product of sets...

Some popular recreational games have a group- theoretic foundation, and groups are useful in modelling games that involve series of discrete moves, with each move leading to a change in the board state. In this work we present to you our local game called “tsorry” ( meaning they line up straight). Which we carefully examine and found that it has...