This article investigates the influence of cross-diffusion on the viscous fluid flow over a porous sheet stretching exponentially by applying the convective thermal conditions. Velocity slip at the boundary is considered. The numerical solutions to the governing equations are evaluated using successive linearisation procedure and Chebyshev collocation method. It is observed from this study that...

Modelling and simulation of infectious diseases help to predict the likely outcome of an epidemic. A well-known generic model type for the quantitative description of the epidemic evolution dynamics by an ordinary differential equation is provided by so-called SIR models. These models classify a population into “suscepti-ble” (S), “infected” (I) and “recovered” (R) subgroups. One very early and...

<p style='text-indent:20px;'>We establish the existence of solutions for a class stochastic reaction-diffusion systems with cross-diffusion terms modeling interspecific competition between two populations. More precisely, we prove weak martingale employing appropriate Faedo-Galerkin approximations and compactness method. The nonnegativity is proved by adaptation well-known Stampacchia app...

In this paper, we investigate tensor based nonintrusive reduced-order models (ROMs) for parametric cross-diffusion equations. The full-order model (FOM) consists of ordinary differential equations (ODEs) in matrix or form resulting from finite difference discretization the operators by taking advantage Kronecker structure. matrix/tensor are integrated time with implicit–explicit (IMEX) Euler me...