Semi-analytical solution for a system of competition with production a toxin in a chemostat
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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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ISRP Style
Aisha Abdullah Alderremy, Mourad Chamekh, Fadhel Jeday, Semi-analytical solution for a system of competition with production a toxin in a chemostat, Journal of Mathematics and Computer Science, 20 (2020), no. 2, 155--160
AMA Style
Alderremy Aisha Abdullah, Chamekh Mourad, Jeday Fadhel, Semi-analytical solution for a system of competition with production a toxin in a chemostat. J Math Comput SCI-JM. (2020); 20(2):155--160
Chicago/Turabian Style
Alderremy, Aisha Abdullah, Chamekh, Mourad, Jeday, Fadhel. "Semi-analytical solution for a system of competition with production a toxin in a chemostat." Journal of Mathematics and Computer Science, 20, no. 2 (2020): 155--160
Keywords
- VIM
- semi-analytical solution
- nonlinear Gauss-Seidel method
- opponents in a chemostat
MSC
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