Mohammed Olanrewaju Ibrahim
@unilorin.edu.ng
Professor, Faculty of Physical Sciences
University of Ilorin
RESEARCH, TEACHING, or OTHER INTERESTS
Modeling and Simulation, Control and Optimization, Applied Mathematics, Computational Mathematics
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
Abayomi Ayoade, Nkuba Nyerere, and Mohammed Ibrahim
Tamkang Journal of Mathematics
Lassa fever is a deadly viral disease whose incubation period ranges from six to twenty-one days and about eighty percent of Lassa virus infection is asymptomatic. A deterministic model was formulated to quantify the transmission dynamics of the disease under isolation and treatment of the isolated asymptomatic and symptomatic humans for effective management and possible elimination of the disease. The solutions of the model were shown to be positive and bounded. Equilibrium analysis was conducted and both the disease-free and the endemic equilibria were derived. The threshold quantity for disease elimination , $R_{0}$ , was also obtained and used to derive conditions for the existence of stability of the eqilibria. The quantity was also employed to examine the sensitivity of the model parameters to disease propagation and reduction. The theoretical analysis was then complemented with the quantitative analysis by adopting a set of realistic values for the model parameters in order to show the effect of isolation and treatment on the spread and fatality of Lassa fever. Results from the quantitative study showed that death and infection from Lassa fever fell continuously as more and more exposed individuals were detected and isolated for treatment. The study therefore suggested that any measure taken to eradicate or curtail Lassa fever spread should include detection and isolation of the exposed humans for prompt treatments.
Major Murtala Bello Aliyu, Ali Audu Baidu, Bala Ma’aji Abdulhamid, Mohammed Olanrewaju Ibrahim, and Fu’ad Muhammad Mukhtar
Elsevier BV
Abayomi Ayotunde Ayoade and Mohammed Olanrewaju Ibrahim
Springer Science and Business Media LLC
Abdulfatai Atte Momoh, Abdullahi Alhassan, M.O. Ibrahim, and S.A. Amoo
Elsevier BV
Kazeem Babatunde Akande, Julius Adebowale Makinde, and Mohammed Olanrewaju Ibrahim
Hindawi Limited
In the contemporary world, the effect of faith in religion cannot be underestimated or overemphasized. In the olden days, traditional religion/faith of a particular locality was the only practice obtainable; however, new faiths emerged and are being absorbed in recent times. Extremism in the newly absorbed faith began to cause the indigenous religion to collapse and increase violence against innocent ones. This paper investigated the interaction between the extremism of faith leading to the act of terror and a susceptible individual (members of the society) to guide the policymakers and decision implementers to embrace the proposed model for counterterrorism for effective management of the insurgency. Mathematical modelling of epidemiology was conceptualized for the model formulation, and the resulting autonomous differential equations were critically analyzed with the Lipschitz condition, next generation matrix, and Bellman and Cooke’s criteria for the management of insurgency in the society. Thresholds were obtained to curtail recruitment into the fanatical groups, and the results of the simulated proposed model identified critical factors (parameters) to be considered for the complete eradication of violence in human society.
Abiodun Oluwakemi, Ibrahim Mohammed, Adebimpe Olukayode, Oludoun Olajumoke, Gbadamosi Babatunde, and Aladeitan Benedicta
Springer Singapore
Olumuyiwa James Peter, Mohammed Olanrewaju Ibrahim, Helen Olaronke Edogbanya, Festus Abiodun Oguntolu, Kayode Oshinubi, Abdullahi Adinoyi Ibrahim, Tawakalt Abosede Ayoola, and John Oluwasegun Lawal
Elsevier BV
S. F. Abimbade, S. Olaniyi, O. A. Ajala, and M. O. Ibrahim
Wiley
A new mathematical model of tuberculosis (TB) featuring exogenous re‐infection and incomplete treatment is presented and analyzed. The model divides total population into susceptible, latently infected, actively infected (uninformed and enlightened), and treatment classes. The model with or without incomplete treatment exhibits backward bifurcation phenomenon, which is caused by the presence of exogenous re‐infection. However, further investigation reveals that the absence of incomplete treatment has the potential to reduce the backward bifurcation range significantly. The global dynamics of the TB model without exogenous re‐infection is completely determined by the basic reproduction number under certain modifications on parameters. Furthermore, the model is extended to include three time‐dependent control functions, such as public awareness campaign, treatment effort, and preventive control against incomplete treatment. The existence of the optimal control for the nonautonomous model is proven and the three controls are characterized using Pontryagin's maximum principle. Numerical simulations are performed to show the significance of singular implementation of each of the controls and combination of the three controls in minimizing the TB burden in the population.
Olumuyiwa J. Peter, Amjad S. Shaikh, Mohammed O. Ibrahim, Kottakkaran Sooppy Nisar, Dumitru Baleanu, Ilyas Khan, and Adesoye I. Abioye
Computers, Materials and Continua (Tech Science Press)
We propose a mathematical model of the coronavirus disease 2019 (COVID-19) to investigate the transmission and control mechanism of the disease in the community of Nigeria Using stability theory of differential equations, the qualitative behavior of model is studied The pandemic indicator represented by basic reproductive number R0 is obtained from the largest eigenvalue of the next-generation matrix Local as well as global asymptotic stability conditions for the disease-free and pandemic equilibrium are obtained which determines the conditions to stabilize the exponential spread of the disease Further, we examined this model by using Atangana–Baleanu fractional derivative operator and existence criteria of solution for the operator is established We consider the data of reported infection cases from April 1, 2020, till April 30, 2020, and parameterized the model We have used one of the reliable and efficient method known as iterative Laplace transform to obtain numerical simulations The impacts of various biological parameters on transmission dynamics of COVID-19 is examined These results are based on different values of the fractional parameter and serve as a control parameter to identify the significant strategies for the control of the disease In the end, the obtained results are demonstrated graphically to justify our theoretical findings
Adesoye Idowu Abioye, Olumuyiwa James Peter, Ayotunde Abayomi Ayoade, Ohigweren Airenoni Uwaheren, and Mohammed Olanrewaju Ibrahim
Union of Researchers of Macedonia
In this paper, we consider a deterministic model of malaria transmission. Adomian decomposition method (ADM) is used to calculate an approximation to the solution of the non-linear couple of differential equations governing the model. Classical fourth-order Runge-Kutta method implemented in Maple18 confirms the validity of the ADM in solving the problem. Graphical results show that ADM agrees with R-K 4. In order words, these produced the same behaviour, validating ADM's efficiency and accuracy of ADM in finding the malaria model solution.
Peter Olumuyiwa James and Mohammed Olanrewaju Ibrahim
IEEE
This paper presents and studies a deterministic mathematical model of typhoid fever dynamics. We verified the uniqueness and the existence of the model's equations using the Lipchitz condition to check the validity of the model. The basic concept of disease transmission is discussed. We applied the Variational Iteration Method (VIM) to solve the model equations. The model equations are described by a nonlinear differential equation of order one. The model is solved using VIM. The validity of the method was verified by the Runge-Kutta method of order four (RK4) implemented in Maple 16 software. In order to confirm the efficiency of VIM, the solutions obtained by the two methods were compared. The profiles of the solutions of each variable in the model were presented and we confirmed that VIM and RK4 were in good agreement. The results reveal that VIM is accurate and efficient in finding the solution to the Typhoid fever model.
A.A. Momoh, M.O. Ibrahim, I.J. Uwanta, and S.B. Manga
Academic Publications
Protecting children from vaccines-preventable diseases such as measles, is among primary goals of health administrators worldwide. Since vaccination turned out to be the most effective strategy against childhood disease, developing a framework that would predict an optimal vaccine coverage level needed to control the spread of these disease is crucial. In this paper, we used a compartmental mathematical model to study the transmission dynamics of measles. The effect of vaccination on transmission dynamics of measles were study. The stability of the disease-free equilibrium is established. Numerical simulations are carried out. We discussed in details the implications of our analytic and numerical solutions. AMS Subject Classification: 92D40, 92D25, 34D20
A.A. Momoh, M.O. Ibrahim, I.J. Uwanta, and S.B. Manga
Academic Publications
Abstract: An SEIR epidemic model is investigated to ascertain the impact of exposed individuals at latent period (individuals who are infected but not yet infectious) on the transmission dynamics of measles. Mathematical analysis is carried out that completely determine the dynamics of the model. The impact of exposed individuals at latent period are discussed through the stability analysis and numerical simulation.
Mohammed Olanrewaju Ibrahim and Mufutau Ayinla Abdul-Yakeen
Richtmann Publishing
Focus of the work is on how to integrate indigenous civil-servants into the community development efforts of a community development association, IEDPU in order to develop the Economy. The study reviewed some theoretical, divine and empirical works and used them to formulate a One-By-One (1X1) financial approach of promoting economic growth and development of Ilorin Emirate Economy. It assumed and tabulated a situation where certain sum of money can be given out as interest-free loans to a particular set of civil-servants and this would enhance their investment capacity, generate more jobs, output, consumption, trade, income, savings and new set of investment opportunities which are symptoms of economic growth and development. It explains the likely limitations and remedies of (1X1) approach and discovered that Emulable Circular Flow of Wealth is practicable and sustainable in the Less Developed Countries. The results suggested the need for the civil-servants to be up and doing and government, employer of civil-servants to continue to guarantee the loans given to civil-servants by the community development associations. This would create more conducive investment climate and labor bank that would improve the infrastructural and social base of the economy to boost credit creation efforts of the host community and promote sustainable growth and development.
DOI: 10.5901/mjss.2013.v4n6p515