In this article, we investigate the dynamical properties of a reaction diffusion system with allelopathic impact and diverse harvesting endeavors in prey-predator population. We initially corresponding characteristic equation, local globally stability for relating without system. The vital adequate conditions are inferred instability additional demonstrated that interior point is stable Our exp...

in this paper, a nonlinear inverse problem of parabolic type, is considered. by reducing this inverse problem to a system of volterra integral equations the existence, uniqueness, and stability of the solution will be shown.

S The diffusivity of water in meat was experimentally determined using a drying technique. Three different mathematical methods were used to determine the diffusivity from the drying data. The first assumes constant diffusivity, volume, temperature and surface moisture concentration. The second assumes a convective boundary condition. The last also takes into account shrinkage. Important differ...

The study of non-equilibrium thermal convection in an anisotropic porous layer saturated with a visco-elastic fluid is carried out to find how the anisotropy and temperature affect onset convection. small perturbation method applied obtain linearized form equations are then solved by using normal mode technique. viscoelasticity considered taking Oldrovd-B momentum equation two separate expressi...

In this article we study multiple SLE?, for ??(0,4], driven by Dyson Brownian motions. This model was introduced in the unit disk Cardy, (2003) connection with Calogero–Sutherland model. We prove Carathéodory convergence of perturbed Loewner chains under different initial conditions and diffusivity ??(0,4] case N=2 driving forces. Our proofs use analysis Bessel processes estimates on differenti...

BACKGROUND White matter microstructural changes detected using diffusion tensor imaging have been reported in bipolar disorder. However, findings are heterogeneous, which may be related to the use of analysis techniques that cannot adequately model crossing fibers in the brain. We therefore sought to identify altered diffusion anisotropy and diffusivity changes using an improved high angular re...

A diagnostic framework is presented, based on the Nakamura effective diffusivity, to investigate the regional variation in eddy diffusivity. Comparison of three different diffusivity calculations enables the effects of locally enhanced tracer diffusion to be distinguished from the streamwise average. It also enables the distinction to be made between locally generated complexity in the tracer s...

BACKGROUND AND PURPOSE Presbycusis is the most common sensory deficit in the aging population. A recent study reported using a DTI-based tractography technique to identify a lack of integrity in a portion of the auditory pathway in patients with presbycusis. The aim of our study was to investigate the white matter pathology of patients with presbycusis by using a voxel-based analysis that is hi...