Browsing by Author "O. M. Adetutu"

Now showing 1 - 6 of 6

Analytic Solution of typhoid fever infection via homotopy perturbation method (HPM)
(Journal of Science, Technology, Mathematics and Education, 2018-03) F. A. Oguntolu; G. Gbolarin; O. M. Adetutu; A. O. Bello
In this paper, a deterministic mathematical model of typhoid fever infection was formulated with a control strategies. We find the analytical solution of the proposed model by Homotopy perturbation method which is one of the best method for finding the solution of the nonlinear problem to obtain the approximate solution of the model. The results are presented graphically and discussed. It is discovered that the epidemic is sustained in the population. Implications of these results indicate that treatment sustain the carrier infectives who in turn sustains the epidemic in the population in the long run.
Application of Bootstrap Re-sampling Method to a Categorical Data of HIV/AIDS Spread across different Social-Economic Classes
(Scientific & Academic Publishing, 2015) A. O. Bello; F. A. Oguntolu; O. M. Adetutu; J. P. Ojedokun
This research reports on the relationship and significance of social-economic factors (age, gender, employment status) and modes of HIV/AIDS transmission to the HIV/AIDS spread. Logistic regression model, a form of probabilistic function for binary response was used to relate social-economic factors (age, sex, employment status) to HIV/AIDS spread. The statistical predictive model was used to project the likelihood response of HIV/AIDS spread with a larger population using 10,000 Bootstrap re-sampled observations.
Application of System of Linear Equation to A 3-Arm Roundabout Network Flows
(Journal of the Nigerian Association of Mathematical Physics, 2016-07) O. M. Adetutu; N. Nyor; O. A. Bello; F. A. Oguntolu
A mathematical model was presented and used to determine turning movements at roundabouts based on field data. Assumptions were made in order to simplify the model; such as U-turns from and to the same arm of a roundabout, total traffic into the roundabout is equal to the total traffic out of the roundabout and traffic is homogenous (i.e. mainly consisting of vehicles). Using Gaussian elimination, turning movements could be estimated from 3-arm roundabouts for the indeterminate traffic steam movements when inflows and outflows for each arm of the roundabout is known together with a flow stream on one internal circulating (weaving) section between any two arms of the roundabout. The model has practical use in reducing the number of detectors or counters (whether automatic, videoing technique or manual methods are in use) which are needed in collecting data to determine the estimated flows from and to the different parts of a roundabout. The reduction in the number of detectors (or traffic counts) could be due to site limitations caused by faulty or limited number of counters used, inaccessible sections for obtaining video images for later analysis (e.g. presence of sharp bends buildings or large trees obscuring vision). The benefits of saving costs could be significant in terms of time and man-power needed on site and this could depend on the amount of traffic flow through the roundabout.
Effects of Undesired Course of Study on Students' Academic Achievement in Nigeria Using Binary Logistic Regression
(Journal of Science, Technology, Mathematics and Education, 2017-09) O. M. Adetutu; F. A. Oguntolu; U. Abdullahi
This study was conducted to examine the effects of undesired course of study on students' academic performance in tertiary institutions in Nigeria. The questionnaire method was used with stratified sampling scheme. The questionnaire was administered to 400 students in Federal University of Technology, Minna Nigeria. Factors such as gender, age, satisfaction and the course of study were examined whether these factors were having effect on students' academic performance. The student cumulative grade point average (CGPA) was used as a measure of academic performance. The data were analyzed using binary logistic regression and the results revealed that satisfaction with course of study and undesired course of study affected students' academic performance. However, age and gender difference did not affect students' academic performance.
Mathematical model for the dynamics of COVID-19 Pandemic Incorporating Isolation and Non-Linear Recovery Rate
(ISEP Porto-Portugal, 2024-06-22) N. I. Akinwande; T. T. Ashezua; S. A. Somma; O. N. Abdurrahman; F. A. Oguntolu; O. M. Adetutu; R. I. Gweryina; R. O. Olayiwola; T. P. Adajime; F. A. Kuta; S. Abdulrahman; A. I. Enagi; G. A. Bolarin; M. D. Shehua; A. Usman.
COVID-19 has in recent times created a major health concern in both developed and developing parts of the world. In this wise, there is every need to theoretically explore ways that will provide some insights into curtailing the spread of the disease in the population. In this paper, we present a population model for COVID-19 pandemic incorporating isolation and nonlinear recovery rate. The reproduction number was obtained using the next generation method. The disease-free equilibrium (DFE) of the model (1) was found to be locally and globally asymptotically stable whenever the associated reproduction number is less than unity. Results from the sensitivity analysis of the model, using the reproduction number, RC show that the top parameters that largely drive the dynamics of COVID-19 in the population are COVID-19 transmission rate and the proportion of individuals progressing to the class of reported symptomatic infectious individuals. Numerical simulations of the model shows that increasing the recovery rate of infected patients in the population will lead to an initial decrease in the number of hospitalized patients before subsequent increase. The reason for this could be attributed to the number of unreported symptomatic infectious individuals who are progressing to reported symptomatic infectious stage of infection for immediate isolation.
On the Dynamical Analysis of a Deterministic Typhoid Fever Infection Model
(Transactions of NAMP, 2017-11) F. A. Oguntolu; G. Gbolarin; S. O. Jaiyeola; O. M. Adetutu
In this paper, we develop a deterministic model of typhoid fever. The existence and uniqueness of solutions of the model were examined by actual solutions. Mathematical analysis is carried out to determine the transmission dynamics of typhoid in a community. We conduct local stability analysis for the model. The results show that the disease-free equilibrium which is locally asymptotically stable if R0 < 1 and unstable if R0 >1.