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

Volume 20, Issue 2, pp 155--160 http://dx.doi.org/10.22436/jmcs.020.02.07
Publication Date: November 01, 2019 Submission Date: April 09, 2019 Revision Date: June 21, 2019 Accteptance Date: July 30, 2019

Authors

Aisha Abdullah Alderremy - Mathematics Department, College of Sciences, King Khalid University, KSA. Mourad Chamekh - Mathematics Department, College of Sciences and Arts, AlKamel, University of Jeddah, KSA. - National Engineering School at Tunis, University of Tunis El Manar, LAMSIN, 1002, Tunis, Tunisia. Fadhel Jeday - Mathematics Department, Jamoum College, Umm Al-Qura University, KSA. - National Engineering School at Tunis, University of Tunis El Manar, LAMSIN, 1002, Tunis, Tunisia.


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.


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