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All Journal Journal of Natural Sciences and Mathematics Research Jambura Journal of Mathematics
ADEBISI, Folasade Ajimot
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Materials Science & Nanotechnology Mathematics Physics

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Numerical computational approach for 6th order boundary value problems Adebisi, Folasade Ajimot; Ishola, Christie Yemisi; Uwaheren, Ohigweren Airenoni; Okunola, Kamilu Adedokun; Raji, Musiliu Tayo; Oseni, Wasiu
Journal of Natural Sciences and Mathematics Research Vol. 9 No. 1 (2023): June
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

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Abstract

This study introduces numerical computational methods that employ fourth-kind Chebyshev polynomials as basis functions to solve sixth-order boundary value problems. The approach transforms the BVPs into a system of linear algebraic equations, expressed as unknown Chebyshev coefficients, which are subsequently solved through matrix inversion. Numerical experiments were conducted to validate the accuracy and efficiency of the technique, demonstrating its simplicity and superiority over existing solutions. The graphical representation of the method's solution is also presented.
Mathematical Analysis of Typhoid Fever Dynamics with Age-Structured Control Measures Kolawole, Mutairu Kayode; Ayoola, Rasheed Gbemisola; Adebisi, Folasade Ajimot
Jambura Journal of Mathematics Vol 8, No 1: February 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v8i1.35225

Abstract

This research develops a mathematical model to investigate the dynamics of typhoid fever by incorporating age structure, vaccination and treatment strategies. Recognizing that different age groups display varying susceptibility and contact rates, the model provides a detailed representation of transmission. The analysis is to emphasize how vaccination programs and treatment interventions, when tailored to age-specific characteristics, can significantly reduce transmission and control outbreaks. The system of nonlinear differential equations describing the disease dynamics is analyzed and solved using the homotopy perturbation method. This analytical approach allows for an approximation of solutions while capturing the nonlinear interactions within the system. Sensitivity analysis is carried out to determine the most influential parameters on disease spread, particularly those affecting the basic reproduction number. The simulations reveal that increasing vaccination coverage and treatment rates leads to a decline in typhoid fever cases across all age groups. Age-targeted interventions are shown to enhance the effectiveness of control strategies compared with uniform measures. Sensitivity analysis result further indicate that parameters such as vaccination rate, treatment efficacy and contact patterns play vital roles in disease progression and a potential for its eradication.
Co-Authors Ayoola, Rasheed Gbemisola Ishola, Christie Yemisi Kolawole, Mutairu Kayode Okunola, Kamilu Adedokun Oseni, Wasiu Raji, Musiliu Tayo Uwaheren, Ohigweren Airenoni