https://ijojournals.com/index.php/m <p><strong>IJO Journal of Mathematics</strong> is an international journal devoted to research concerning all aspects of mathematics. The Journal’s policy is to motivate authors to publish research papers that represent significant contributions, and which are of broad interests to the fields of pure and applied mathematics. <strong>IJO Journal of Mathematics&nbsp;</strong>journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, theoretical bioinformatics, experimental mathematics etc.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</p> en-US <p>Author(s) and co-author(s)&nbsp;jointly&nbsp;and severally represent and warrant that the Article is original with the author(s) and does not infringe any&nbsp;copyright or violate any other right of any third parties and that the Article has not been published&nbsp;elsewhere.&nbsp;Author(s) agree to the terms that the <strong>IJO Journal</strong> will have the full right to remove the published article on any misconduct found in the published article.</p> info@ijojournals.com (Rahul Khan) editor@ijojournals.com (Aasik Hussain) Thu, 05 Nov 2026 06:23:00 +0000 OJS 3.1.1.4 http://blogs.law.harvard.edu/tech/rss 60 https://ijojournals.com/index.php/m/article/view/1369 <p>This study formulated and analyzed a nonlinear deterministic compartmental model of corruption dynamics that explicitly incorporates the influence of corrupt immigrants on a naive population. The population is divided into six compartments: susceptible, exposed, corrupt, prosecuted, jailed, and honest individuals. The model is shown to be well posed, with a positively invariant and attracting feasible region and non-negative solutions for all time. The corruption reproduction number, , is derived using the next-generation matrix approach. The corruption-free equilibrium is proved locally and globally asymptotically stable when , while the corruption-present equilibrium is proved globally asymptotically stable when &nbsp;using quadratic Lyapunov function. Sensitivity analysis identifies the recruitment, influence, prosecution, and reform rates as the parameters to which &nbsp;is most responsive, with reform exerting the strongest negative effect. Numerical simulations confirm the analytical results and show that the long-run endemic level is independent of the initial conditions. Although the sensitivity index of the corrupt-immigrant parameter is small (+0.0437), the simulations show that corrupt immigrants act as a persistent external source of corruption; neglecting this inflow would understate persistence corruption. The results support a combined strategy weighted toward reform, since rehabilitation, civic education, and moral recovery reduce both peak and endemic corruption and ease the burden on the prison system.</p> Hammed Olatunbosun Ibrahim, Okunloye Ayinde Adepoju, Okunloye Ayinde Adepoju, John Abayomi Olanrewaju, John Oluwabori Ayanwale, Janet Ifeade Awojugbagbe, Emmanuel Adeolu Adejumo, Wasiu Omotayo Salahu ##submission.copyrightStatement## https://creativecommons.org/licenses/by-nc-nd/4.0 https://ijojournals.com/index.php/m/article/view/1369 Thu, 05 Nov 2026 06:40:11 +0000