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Joseph Odunayo Braimah

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Joseph Odunayo Braimah is a registered researcher in their academic field.

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2 research works linked to this profile

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HIV; CD4 count; longitudinal data; mixed-effects model; nonlinear trajectory; antiretroviral therapy; immune recovery; heterogeneity · 2026 · African Journal of Mathematics, Statistics and Computer Science

Longitudinal Modeling of CD4 Cell Count Trajectories among HIV Patients Receiving Antiretroviral Therapy in Pretoria, South Africa

To assess immune recovery among HIV patients undergoing antiretroviral therapy (ART), it is essential to monitor the CD4 cell count. Optimizing patient management is critical for understanding CD4 progression and its determinants. A longitudinal dataset comprising 4,317 observations from 841 HIV patients was analyzed using linear mixed-effects models. Random intercept and slope models were fitted to account for within-patient correlation. Nonlinear CD4 trajectories were modeled using quadratic time effects, and covariates including age, sex, tuberculosis status, and adherence were incorporated. CD4 count increased significantly over time, with an initial rapid increase followed by a plateau ($\beta_1 = 97.88$, $p < 0.001$; $\beta_2 = -58.14$, $p < 0.001$). Significant heterogeneity occurred in baseline levels and rates of change. Male patients had lower CD4 counts than females ($\beta = -32.30$, $p < 0.001$). Tuberculosis status had a negative but borderline effect, while age and adherence were not statistically significant. The findings support individualized treatment strategies and continuous monitoring.

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nonlinear dynamical system; protest threshold; state coercion; public trust; political efficacy; digital mobilization; stability analysis; Nigeria; #EndBadGovernance · 2026 · Ktrend – Nigerian Journal of Mathematical and Computational Sciences

A Mathematical Modeling Framework for Protest Dynamics, State Coercion, and Public Trust: Evidence from the 2024 #EndBadGovernance Protests in Nigeria

The 2024 #EndBadGovernance protests in Nigeria emerged amid severe economic hardship, rising food prices, currency depreciation, unemployment, and declining confidence in public institutions. This paper develops a nonlinear mathematical framework that links economic hardship, digital mobilization, protest intensity, state coercion, public trust, and political efficacy. A five-dimensional autonomous system of ordinary differential equations is formulated and calibrated using quantitative relationships reported in a cross-sectional survey of 2,540 respondents, state-level digital engagement indicators, a Difference-in-Differences analysis, and a Structural Equation Model. The model is shown to be mathematically well posed: solutions remain nonnegative and enter a bounded positively invariant region. A protest activation threshold, denoted by $R_p$, is derived. The protest-free equilibrium is locally asymptotically stable when $R_p < 1$ and unstable when $R_p > 1$, whereas a unique persistent-protest equilibrium exists for $R_p > 1$ and is locally asymptotically stable under the stated parameter conditions. Sensitivity indices show that economic hardship, digital amplification, and recruitment responsiveness increase protest persistence, while grievance resolution and effective non-coercive de-escalation reduce it. Model-based numerical scenarios reproduce the observed pattern in which digital engagement increases protest intensity, coercion accelerates the erosion of public trust, and excessive coercion weakens citizens' institutional political efficacy without removing the underlying economic grievance.