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All Journal Jambura Journal of Biomathematics (JJBM)
Olayiwola, Morufu Oyedunsi
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Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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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.
A Fractional Mathematical Model for Controlling and Understanding Transmission Dynamics in Computer Virus Management Systems Yunus, Akeem Olarewaju; Olayiwola, Morufu Oyedunsi; Ajileye, Adewole Mukaila
Jambura Journal of Biomathematics (JJBM) Volume 5, Issue 2: December 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v5i2.25956

Abstract

The constant danger of computer viruses and malware makes it difficult to safely simulate the management of computer systems over time for both networks and individual users. The present study proposes a novel six-compartment fractional model that builds on existing classical frameworks and examines the existence and uniqueness of its solution, indicating that it is both mathematically and biologically well-posed. Additionally, we compute the fundamental reproduction number R0 and use sensitivity analysis to investigate the impact of various factors on the model's behavior. The Laplace Adomian Decomposition Method is employed for numerical analysis, and its findings have the potential to transform computer security and network management by providing robust countermeasures and eradication tactics. The complex properties of the fractional-order model are further explored by examining the memory effect of fractional order on system dynamics. The research findings offer valuable insights for virus managers in developing and implementing effective management methods and can successfully prevent the spread of computer viruses by leveraging these discoveries. In conclusion, this study provides significant insights and solutions for protecting the integrity of digital domains and network infrastructure.
Co-Authors Adedapo, Adedapo Ismaila Adedeji, Joseph Adeleke Adedokun, Kamilu Adewale Ajileye, Adewole Mukaila Kabiru, Kareem Oyeleye OLADAPO, Asimiyu Olalekan Yunus, Akeem Olanrewaju Yunus, Akeem Olarewaju