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All Journal Jambura Journal of Mathematics Jambura Journal of Biomathematics (JJBM) Jurnal Diferensial
Kolawole, Mutairu Kayode
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Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Mathematics Public Health

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Mathematical Dynamics of the (SVEITR) Model, the Impact of Treatment and Vaccination on Cholera Spread ODEYEMI, kazeem Abidoye; Kolawole, Mutairu Kayode
JURNAL DIFERENSIAL Vol 7 No 1 (2025): April 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i1.19395

Abstract

This study presents a mathematical analysis of the SVEITR model, which incorporates susceptible, vaccinated, exposed, infected, treatment, and recovered populations to evaluate the dynamics of cholera spread. By integrating treatment and vaccination rates into the model, we aim to understand their impact on disease transmission and immunity. Our findings reveal that combining rapid treatment and vaccination significantly reduces the spread of cholera, highlighting the importance of these interventions in public health strategies. The model demonstrates that timely and widespread implementation of vaccination and treatment can effectively control outbreaks and mitigate the disease's impact. Through a numerical simulation of Laplace decomposition method the result reveal that treatment rate reduces the emanation of the disease and vaccination plays a vital role in curbing aftermath effect of wide-spread of the disease. Hence, the need for robust healthcare policies that prioritize these measures to achieve substantial progress in managing and eventually eradicating cholera, particularly in vulnerable regions. The SVEITR model provides a valuable framework for policymakers and healthcare professionals to devise efficient strategies for cholera control, contributing to improved public health outcomes.
Modelling Immunological Effects on Fractional Order of Cholera Dynamics with Behavioral Response via Numerical simulation Kolawole, Mutairu Kayode; Adeniji, Atinuke Abidemi
JURNAL DIFERENSIAL Vol 7 No 2 (2025): November 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i2.23609

Abstract

Cholera, spread by the bacterium Vibrio cholerae, is still a major health problem in places with unsanitary conditions. The way it spreads relies on the host’s immunity, certain environmental aspects and how clean people keep themselves and their properties. The model in this study applies Caputo fractional-order derivatives to capture the immunity of people, their hygiene, memory in diseases and various ways of controlling them. It includes the study of how people respond and interact with their environment and disease-related factors in a mathematical way. We perform solid analyses on the model, confirming the existence, uniqueness, positivity and boundedness of its solutions. A basic reproduction number is calculated to find out if the disease will continue to exist in a population. Analyzing what makes a disease-free state or an endemic equilibrium stable tells us how to best control the disease. Using the Laplace-Adomian Decomposition Method for solving the nonlinear fractional system results in simulations that match actual cholera behavior. Findings point out that a decline in immunity and better hygiene help reduce how cholera spreads. The framework supports an understanding of cholera spread and is also useful for examining other diseases that are highly complex.
Coupled Effects of Magnetohydrodynamics and Nanoparticles on Nonlinear Stretching Wedge Flow with Multiple Slips and Non-Uniform Heating akinrimade, Victor Adetayo; Kolawole, Mutairu Kayode
JURNAL DIFERENSIAL Vol 6 No 2 (2024): November 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i2.13188

Abstract

This study investigates the complex interplay between magnetohydrodynamics (MHD), nanoparticle behavior, and fluid flow characteristics in the context of a nonlinear stretching wedge with multiple slips and non-uniform heating. The flow is driven by a water-based fluid containing nano-sized particles of aluminum oxide and copper $\left( Al_2O_3-Cu/H_2O\right)$ . The governing equations of the problem are derived and then solved using appropriate numerical techniques. The effects of various parameters such as the magnetic field strength, nanoparticle volume fraction, wedge angle, slip parameters, and non-uniform heat source are thoroughly analyzed. Results reveal significant alterations in the flow behavior due to the presence of nanoparticles and the applied magnetic field. The interaction between the fluid flow and magnetic field induces a substantial change in velocity and temperature distributions along the wedge surface. Moreover, the slip effects and non-uniform heat source further modify the flow characteristics. This investigation provides valuable insights into the coupled effects of MHD, nanoparticles, and slip conditions on the flow dynamics and thermal behavior in nonlinear stretching wedge configurations. Such insights are crucial for understanding and optimizing processes involving fluid flow and heat transfer in engineering applications, particularly those utilizing nano-fluids and magnetic fields.
Effects of acceptance of enlightenment on COVID-19 transmission using homotopy perturbation method Ayoola, Tawakalt Abosede; Kolawole, Mutairu Kayode; Popoola, Amos Oladele
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 2: December 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i2.15798

Abstract

The deadly Corona virus disease has had a significantly devastating impact on the general public, necessitating the study of transmission dynamics. A mathematical model of a non-linear differential equation for COVID-19 infection is investigated with the effects of some basic factors, such as the acceptance of enlightenment to avoid being exposed and the acceptance of enlightenment to go for vaccination. The basic reproduction number, which determines the disease's spread, is calculated. The local and global stability analyses of the model are carried out. The sensitivity analysis is also computed. Numerical simulation using the homotopy perturbation method demonstrates the effect of the acceptance of enlightenment on the population. Our results indicate that when the populace accepts vaccination, the rate at which COVID-19 spreads reduces.
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 ADEBISI, Folasade Ajimot Adeniji, Atinuke Abidemi akinrimade, Victor Adetayo Ayoola, Rasheed Gbemisola Ayoola, Tawakalt Abosede ODEYEMI, kazeem Abidoye Popoola, Amos Oladele