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

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Mathematical (Seirb) Model Analysis for Evaluating Cholera Control Strategies in Remote Dry Season Region DERE, Zainab Olabisi; OLADAPO, Asimiyu Olalekan
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.v6i2.17868

Abstract

Cholera, caused by the Vibrio cholerae bacterium, poses a significant public health threat in remote regions of Nigeria, especially during the dry season when access to treated water is limited. This research aims to develop a comprehensive model to understand the rapid spread of cholera in these areas and evaluate the efficacy of control policies, including educational programs, antibiotics, water treatment rates, and environmental cleanliness through resolving the Existence and Uniqueness of the model formulation, Positivity, and Boundedness, Basic Reproduction Number, i.e. the threshold of the disease dynamics. When the versatility of the disease spreads will die out with time and if, the persistence of the disease prevails over time. Local and Global stability analysis of the model was obtained, also the sensitivity analysis for the targeted parameters was analyzed. Additionally, the study incorporates numerical simulations utilizing the homotopy perturbation method to identify the specific impact of the control parameters are for in mitigating the spread of the Vibrio cholerae disease. The result obtained seeks to provide valuable insights into designing effective intervention strategies aforementioned to combat cholera outbreaks in resource-constrained regions, with a focus on improving water accessibility and implementation.
Mathematical Analysis of Sensitive Parameters on the Dynamical Transmission of HIV-Malaria Co-infection Oladapo, Asimiyu Olalekan; Olayiwola, Morufu Oyedunsi; Adedokun, Kamilu Adewale; Adedapo, Adedapo Ismaila; Adedeji, Joseph Adeleke; Kabiru, Kareem Oyeleye; Yunus, Akeem Olanrewaju
Jambura Journal of Biomathematics (JJBM) Volume 4, Issue 1: June 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v4i1.18972

Abstract

Malaria disease increases the mortality rate of HIV patients. In this work, a mathematical model incorporating an infected, undetected, and treated set of people was developed. The analysis showed that the model is well-posed, the disease-free equilibrium for the model was obtained, and the basic reproduction number of the HIV-malaria co-infection model was calculated. The 14 compartmental models were analyzed for stability, and it was established that the disease-free equilibrium of each model and their co-infections were locally and globally asymptotically stable whenever the basic reproduction number was less than unity or endemic otherwise. Based on the sensitivity analysis, the parameter that has the greatest impact is the contact rate; therefore, it is recommended for public health policies aimed at reducing the burden of these diseases in co-endemic regions.
Co-Authors Adedapo, Adedapo Ismaila Adedeji, Joseph Adeleke Adedokun, Kamilu Adewale DERE, Zainab Olabisi Kabiru, Kareem Oyeleye Olayiwola, Morufu Oyedunsi Yunus, Akeem Olanrewaju