# Mathematics Research Papers/Topics

##### Analysis of an Arterial Pulse Using 1D KdV Model

Abstract/Overview In this study we developed a soliton model of an arterial pulse. The Korteweg-de Vries wave equation is our model of interest. It incorporates the aspect of modeling an arterial pulse which can potentially lead to development of better estimators of cardiac output. Accurate and continuous measurements of cardiac output are needed for severely ill COVID-19 patients but are often done using invasive methods. Another clinical importance is that the solitonic parameters infe...

2 PAGES (867 WORDS)
##### Application of the Vector Autoregressive Model Incorporating New Measurements Using the Bayesian Approach

Abstract In this paper, an application of the updated vector autoregresive model incorporating new information or measurements is considered. We consider secondary data obtained from the Kenya National Bureau of statistics, Statistical Abstract reports from 2000-2021 which is on monetary value marketed at current prices from crops, horticulture, livestock and related products, fisheries and forestry. A VAR(1) model is fitted to the data and then the model updated to incorporate the measureme...

9 PAGES (2057 WORDS)
##### Comparison of the Performance of Logistic Regression Model in the Presence and Absence of Mediation

Abstract Over the last decade major global efforts mounted to address the HIV epidemic has realized notable successes in combating the pandemic. Sub Saharan Africa (SSA) still remains a global epicenter of the disease, accounting for more than 70% of the global burden of infections. Despite wide spread use of various intervention strategies that act as mediation factors in Human Immunodeficiency Virus (HIV) prevention, HIV prevalence still remains a challenge especially in some geographic ar...

9 PAGES (3511 WORDS)
##### Travelling Wave Analysis of a Diffusive COVID-19 Model

Abstract In this paper, a mathematical model based on a system of nonlinear parabolic partial differential equations is developed to investigate the effect of human mobility on the dynamics of coronavirus 2019 (COVID-19) disease. Positivity and boundedness of the model solutions are shown. The existence of the disease-free, the endemic equilibria, and the travelling wave solutions of the model are shown. From the numerical analysis, it is shown that human mobility plays a crucial role in the...

7 PAGES (4721 WORDS)
##### Sensitivity and Optimal Control Analysis of an Extended SEIR COVID-19 Mathematical Model

Abstract In this paper, a mathematical model based on a system of ordinary differential equations is developed with vaccination as an intervention for the transmission dynamics of coronavirus 2019 (COVID-19). The model solutions are shown to be well posed. The vaccine reproduction number is computed by using the next-generation matrix approach. The sensitivity analysis carried out on this model showed that the vaccination rate and vaccine efficacy are among the most sensitive parameters of t...

9 PAGES (6220 WORDS)
##### MODELLING THE DYNAMICS OF RADICALIZATION WITH GOVERNMENT INTERVENTION

Abstract ABSTRACT: Radicalization is the process by which people come to adopt in- creasingly extreme political, social or religious ideologies. When radicalization leads to violence, radical thinking becomes a threat to national and international security. Prevention programs are part of an effort to combat violent extremism and terrorism. This type of initiative seek to prevent radicalization process from occurring and tak- ing hold in the first place. In this paper we introduce a simple c...

14 PAGES (4511 WORDS)
##### On A Class of Idealized Near-Rings Admitting Frobenius Derivations.

Abstract In this paper, we use the idealization procedure for finite rings to construct a class of quasi-3 prime Near-Rings N with a Jordan ideal J(N) and admitting a Frobenius derivation. The structural characterization of N; J(N) and commutation of N via the Frobenius derivations have been explicitly determined.

9 PAGES (4762 WORDS)
##### Intervention Time Series Modeling of Infant Mortality: Impact of Free Maternal Health Care

Abstract Infant mortality is an important marker of the overall society health. The 3rd goal of the Sustainable Development Goals aims at reducing infant deaths that occur due to preventable causes by 2030. Due to increased infant mortality the Kenyan government introduced Free Maternal Health Care as an intervention towards reducing infant mortality through elimination of the cost burden of accessing medical care by the mother and the infant. The study examines the impact of Free Maternal H...

10 PAGES (2790 WORDS)
##### Mathematical Modelling and Analysis of Corruption of Morals amongst Adolescents with Control Measures in Kenya

Abstract In the present paper, we formulate a new mathematical model for the dynamics of moral corruption with comprehensive age-appropriate sexual information and provision of guidance and counselling. The population is subdivided into three (3) different compartments according to their level of information on sexual matters. The model is proved to be both epidemiologically and mathematically well posed. The existence of unique morally corrupt-free and endemic equilibrium points is investig...

16 PAGES (10458 WORDS)
##### The Beauty of Mathematics: Learning Mathematics by Questioning

Abstract Mathematics problems may seem to have no real use in life, but this could be further from the truth. The use of mathematics is everywhere in our daily lives and, without discovering it; we apply mathematics ideas, as well as the skills we learn from executing mathematical challenges every day. Unfortunately, mathematics feedback at national examinations is deficient. A mean of between 23 to 29 percent for 5 years in a row from 2014 to 2018 is a clear indication that the training of ...

11 PAGES (7273 WORDS)
##### Mathematical Modeling and Analysis of Mathematics Anxiety Behavior on Mathematics Performance in Kenya

Abstract We propose a deterministic model that describes the dynamics of students who have the capabilityWe propose a deterministic model that describes the dynamics of students who have the capabilityto perform well in mathematics examinations and engage in careers that demand its applicationand the negative inuence of individuals with mathematics anxiety on the potential students.Our model is based on SIR classical infectious model classes with Susceptible (S) and Infected (I)taken as Math...

17 PAGES (8225 WORDS)
##### Stability Analysis in a Mathematical Model of Corruption in Kenya

Abstract The term corruption refers to the process that involves the abuse of a public trust or office for some private benet. Corruption becomes a threat to national development and growth especially when there is no political will to fight it. Prevention and disengagement initiatives are part of EACC strategies used to fight corruption. Prevention strategies aim to stop or discourage citizens from engaging in corruption. Disengagement strategies attempt to reform corrupt individuals and to...

15 PAGES (7158 WORDS)
##### Mostar Index of Cycle-Related Structures

Abstract A topological index is a numerical quantity associated with the molecular structure of a chemical compound. This number remains fixed with respect to the symmetry of a molecular graph. Diverse research studies have shown that the topological indices of symmetrical graphs are interrelated with several physiochemical properties such as boiling point, density, and heat of formation. Peripherality is also an important tool to study topological aspects of molecular graphs. Recently, a bo...

11 PAGES (7331 WORDS)
##### Estimation of Risk Factors Affecting Screening Outcomes of Prostate Cancer Using the Bayesian Ordinal Logistic Model

Abstract Prostate cancer occurs when cells in the prostate gland grow out of control. Almost all prostate cancers are adenocarcinomas. The survival rate for prostate cancer patients depends on the screening outcome, which can be either no prostate cancer, early detection, and late detection or advanced stage detection. The main objective of this study was to estimate the risk factors affecting the screening outcome of prostate cancer. With ordinal outcomes, a generalized Bayesian ordinal log...

9 PAGES (5886 WORDS)
##### Canonical Correlation in Modeling Short Term Expenditure versus Poverty Levels in Informal Settlements

Abstract Populations in informal settlements grapple with poor living conditions and inability to access quality education. Expenditure behaviour especially on short term basis is one of the major causes of poverty as majority live from hand to mouth and not in position to provide their children with education. This study applied canonical correlation used in a wide range of disciplines to analyse the relationship between short term expenditure and poverty levels. The main objective was to e...

8 PAGES (3406 WORDS)

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