This study investigates the combined effects of porous medium properties, nanoparticle dynamics, and fluid characteristics on heat and mass transfer in nanofluid flow through a channel bounded by permeable walls. A comprehensive mathematical model is developed incorporating the Brinkman–Darcy momentum equation, energy and nanoparticle concentration equations, and key nanofluid transport mechanisms such as Brownian motion and thermophoresis. The resulting nonlinear boundary value problem is solved numerically using a robust BVP4C approach in MATLAB. Parametric analyses are conducted to assess the influence of the Schmidt number (Sc), porosity parameter (λ), Darcy number (Dc), Prandtl num... More >

This study presents a mathematical framework to analyze the transmission dynamics of the Ebola Virus Disease (EVD) using an extended SEIRVH model. The model incorporates vaccinated and hospitalized compartments, addressing critical factors such as vaccination efficacy, healthcare interventions, and natural disease progression. Differential equations describe the transitions between six population compartments. The study evaluates model stability and bifurcation through well-posedness, positivity, and boundedness analyzes, ensuring realistic and biologically valid solutions. The basic reproduction number, R0, derived from the next generation matrix, serves as a threshold for outbreak control.... More >