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All Journal Mikailalsys Journal of Mathematics and Statistics African Multidisciplinary Journal of Sciences and Artificial Intelligence Open Access DRIVERset
O, Akpienbi Isaac
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering

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 1 
Mathematical Model of Counteract Bandits Terrorism in Nigeria O, Akpienbi Isaac; Jude, Iroka
Mikailalsys Journal of Mathematics and Statistics Vol 3 No 1 (2025): Mikailalsys Journal of Mathematics and Statistics
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/mjms.v3i1.3969

Abstract

This paper explores a mathematical model for analyzing the dynamics of banditry and terrorism, focusing on equilibrium states and stability conditions. Key concepts include the reproduction number Rb, which serves as a threshold parameter indicating the potential for spread or decline of these activities. The study finds that a banditry-free equilibrium is locally asymptotically stable when Rb < 1, suggesting that the activities will decline over time. In contrast, Rb>0 indicates the possibility of globally stable coexistence equilibrium, where banditry and terrorism persist at endemic levels. The model also identifies invariant regions, ensuring that the system's trajectories remain within certain bounds, and guarantees unique and positive solutions, essential for real-world applicability. These findings provide critical insights for developing comprehensive strategies to mitigate banditry and terrorism, highlighting the importance of addressing both root causes and immediate symptoms
Effect of Family Role and Law Enforcement Agencies Impact Analysis of Meth Mathematical Model of Drug Crime of Users in Nigeria O, Akpienbi Isaac; T, Ezra E.
African Multidisciplinary Journal of Sciences and Artificial Intelligence Vol 1 No 1 (2024): African Multidisciplinary Journal of Sciences and Artificial Intelligence
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/amjsai.v1i1.3519

Abstract

This paper introduces a mathematical model that incorporates family dynamics and law enforcement into the transmission of methamphetamine and drug-related crime. The model's dynamic behavior, equilibrium existence, and global stability are analyzed using mathematical techniques. The research includes the exploration of equilibrium states representing drug crime-free and drug crime-persistent scenarios, as well as the determination of the reproduction number. The findings demonstrate that the drug crime-free equilibrium and drug crime-persistent equilibrium are asymptotically stable. Moreover, the study advises the government to develop and implement policies and strategies aimed at controlling and eradicating drug crime in Nigeria, with a specific focus on law enforcement agencies undertaking the implementation process.
Mathematical Modeling of Security Forces – Insurgent Dynamics in Nigeria O, Akpienbi Isaac; Adamu, Ibrahim Isa
African Multidisciplinary Journal of Sciences and Artificial Intelligence Vol 1 No 2 (2024): African Multidisciplinary Journal of Sciences and Artificial Intelligence
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/amjsai.v1i2.3798

Abstract

In this study, a mathematical model of the dynamics of the interaction between Nigerian security forces and armed groups was developed. This model is based on demographic principles. When developing the model, the dynamics were conceptualized and structured along with the dynamics of predators and prey. The model developed was an analysis based on the Routh-Hurtwiz standard. The equilibrium points of the model were determined and their stability analysis was performed. The equilibrium factor is domestically asymptotically stable. In addition, we conducted numerical experiments to simulate the solution of the model. This study suggests that security agencies should be proactive in their response and improve their intelligence, peace building and weapons skills in combat conflicts in order to motivate security forces. Strengthen security forces and rehabilitation centers and improve rehabilitation programs for society as a whole.
Effect of Family Role and Law Enforcement Agencies Impact Analysis of Meth Mathematical Model of Drug Crime of Users in Nigeria O, Akpienbi Isaac; T, Ezra E.
African Multidisciplinary Journal of Sciences and Artificial Intelligence Vol 1 No 1 (2024): African Multidisciplinary Journal of Sciences and Artificial Intelligence
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/amjsai.v1i1.3519

Abstract

This paper introduces a mathematical model that incorporates family dynamics and law enforcement into the transmission of methamphetamine and drug-related crime. The model's dynamic behavior, equilibrium existence, and global stability are analyzed using mathematical techniques. The research includes the exploration of equilibrium states representing drug crime-free and drug crime-persistent scenarios, as well as the determination of the reproduction number. The findings demonstrate that the drug crime-free equilibrium and drug crime-persistent equilibrium are asymptotically stable. Moreover, the study advises the government to develop and implement policies and strategies aimed at controlling and eradicating drug crime in Nigeria, with a specific focus on law enforcement agencies undertaking the implementation process.
Mathematical Modeling of Security Forces – Insurgent Dynamics in Nigeria O, Akpienbi Isaac; Adamu, Ibrahim Isa
African Multidisciplinary Journal of Sciences and Artificial Intelligence Vol 1 No 2 (2024): African Multidisciplinary Journal of Sciences and Artificial Intelligence
Publisher : Darul Yasin Al Sys

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58578/amjsai.v1i2.3798

Abstract

In this study, a mathematical model of the dynamics of the interaction between Nigerian security forces and armed groups was developed. This model is based on demographic principles. When developing the model, the dynamics were conceptualized and structured along with the dynamics of predators and prey. The model developed was an analysis based on the Routh-Hurtwiz standard. The equilibrium points of the model were determined and their stability analysis was performed. The equilibrium factor is domestically asymptotically stable. In addition, we conducted numerical experiments to simulate the solution of the model. This study suggests that security agencies should be proactive in their response and improve their intelligence, peace building and weapons skills in combat conflicts in order to motivate security forces. Strengthen security forces and rehabilitation centers and improve rehabilitation programs for society as a whole.
Co-Authors Adamu, Ibrahim Isa Jude, Iroka T, Ezra E.