A model is considered for turbulent diffusion which consists of a Riesz space fractional derivative to describe the turbulent phenomenon and also includes advection and classical diffusion. We present a first order explicit numerical method and a second order implicit numerical method to solve our problem and prove convergence results for both methods, including the derivation of stability cons...

We discuss the problem of semi-globally asymptotically stabilizing general nonlinear discretetime systems in the presence of data-rate constraints under the stabilizability assumption only. The proposed solution relies on a simple result on asymptotic estimation for nonlinear systems under data-rate constraints, which holds for trajectories confined within a known bounded region of the state sp...

As described before, anumber offactors affect the bioavailability ofvitamin A and provitamin A carotenoids such as their conversion to vitamin A, rate ofabsorption, transport, chemical nature ofthe provitamin A, and also the fat content in the diet. The type of food matrix in which carotenoids are located is a major factor affecting the bioavailability ofprovitamin A carotenoids; bioavailabilit...

The main objective of this work was to assess the optimization of Fe and Cu bioleaching from converter slag using Acidithiobacillus ferrooxidans. Important parameters that contribute to the bioleaching process include initial pH, initial Fe2+ concentration and pulp density. In order to optimize these parameters, the response surface methodology (RSM) was applied. The maximum...

In this paper, our aim is to study the equilibrium points, local asymptotic stability, global behavior of an equilibrium points and rate of convergence of an anti-competitive system of third-order rational difference equations of the form: , , 0,1, , where the parameters , , , , , and initial conditions , , , , , are positive real numbers. Some numerical examples are given to verify our theoret...