Papers by Senewo Emmanuel Olorunfemi
Direct Block Methods for solving fourth-order Initial Value Problems (IVPs) are presented. The de... more Direct Block Methods for solving fourth-order Initial Value Problems (IVPs) are presented. The derivation of the methods is achieved by applying the technique of interpolation and collocation to a power series polynomial, which is considered an approximate solution to the problems. Higher derivative terms are introduced to improve the order of accuracy of the methods. Details of the block methods are presented, showing that the methods are zero stable, consistent and convergent. Some scalar and vector problems of IVPs are presented to illustrate the accuracy of the proposed approach, providing a comprehensive comparison with other methods in the literature.
This paper proposes a method for investigating the solvability and develop the fifth derivative b... more This paper proposes a method for investigating the solvability and develop the fifth derivative block methods of step numbers 𝑘 = 1, 𝑘 = 2 for the direct solution of systems of beams equations with fully nonlinear terms differently from existing methods in literature Fifth derivative was introduced into the assumed power series basis function of the proposed. This approach produces simultaneously approximations at all the grid points for solving directly systems of beams equations. Numerical experiments such as coupled systems of beams equations, are presented to illustrate the better performance of the proposed methods than those in the recent literature. Accuracy comparison with other methods available in the recent literature are available.
BMC Infectious Diseases, 2025
Background Malaria remains one of the most significant global health challenges, particularly in ... more Background Malaria remains one of the most significant global health challenges, particularly in tropical and subtropical regions. Despite ongoing control efforts, malaria transmission persists due to complex biological, environmental, and socioeconomic factors. Traditional malaria models have primarily focused on vector-borne transmission, overlooking the growing importance of non-vector transmission pathways, such as blood transfusions, congenital transmission, and human-to-human transmission through healthcare settings. Methods A novel mathematical model was developed to integrate both vector-borne and non-vector transmission routes. The model expands the traditional Susceptible-Exposed-Infectious-Recovered (SEIR) framework by incorporating compartments for vaccinated and non-vector exposed human populations, as well as dynamics for both human and mosquito populations. Numerical simulations were performed using MATLAB to evaluate the impact of vaccination, vector control, non-vector control, and treatment strategies. Results The results indicate that vaccination significantly reduces susceptibility to malaria, with numerical simulations showing an approximate 43% reduction in the susceptible human population. However, vector control remains critical in limiting exposure, and non-vector transmission pathways including blood transfusions, congenital transmission, and direct human-to-human transmission pose a substantial risk even in regions with effective mosquito control. This underscores the need for integrated strategies that address both vector and non-vector transmission routes. Conclusions Combining vaccination efforts with robust vector control, improved healthcare practices, and stringent non-vector transmission prevention measures is essential to effectively reduce malaria transmission. Sustained interventions, including improved blood screening and safe medical practices, are necessary to prevent malaria resurgence, particularly in high-transmission settings. This model provides valuable insights into malaria dynamics and offers a framework for designing more effective public health policies and strategies for malaria eradication.
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Papers by Senewo Emmanuel Olorunfemi