Semi-analytical solution for a system of competition with production a toxin in a chemostat

Abstract

The resolution of a system for modeling the competition between opponents in a chemostat when one of these can produce a toxin has been studied. We propose a novel method to overcome the analytical difficulties of standard mathematical methods. The method is based on the variational iteration method and combined with the Gauss-Seidel technique for increasing the convergence rate. Numerical examples are considered to demonstrate the practicality and improve the convergence of the proposed method.

Multi-step semi-analytical solutions for a chikungunya virus system

“…The approved modeling is based on the differential equations system, it is mainly found in applications in biology [4] and in engineering sciences [5]. Taking into account the difficulty of solving these equations by analytical methods, a certain number of numerical methods were used, which worked well [6,7]. For example, stability analyses and semi-analytical solutions for a Zika virus dynamics model, SVEIR epidemic model for the measles transmission and SIR epidemic model were studied, respectively, in [8][9][10].…”