Radhouane Fekih Salem ; Tewfik Sari ; Nahla Abdellatif
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Sur un modèle de compétition et de coexistence dans le chémostat
arima:1953 -
Revue Africaine de Recherche en Informatique et Mathématiques Appliquées,
November 23, 2011,
Volume 14 - 2011 - Special issue CARI'10
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https://doi.org/10.46298/arima.1953
Sur un modèle de compétition et de coexistence dans le chémostatArticle
Authors: Radhouane Fekih Salem ; Tewfik Sari 1,2,3; Nahla Abdellatif 4,5
1 Modelling and Optimisation of the Dynamics of Ecosystems with MICro-organisme
2 Laboratoire de Mathématiques Informatique et Applications
3 Laboratoire de Mathématiques Informatique et Applications [UHA]
4 Laboratoire de Modélisation Mathématique et Numérique dans les Sciences de l'Ingénieur [Tunis]
5 École Nationale des Sciences de l'Informatique [Manouba]
In this paper, we consider the mathematical model of two microbial species competition on a single resource in a chemostat. We take into account the interspecific interactions between the two populations of micro-organisms and intraspecific interactions between individuals themselves. The growth functions are monotonic and the dilution ratios are distinct. We determine the equilibrium points, and their local stability.
Co-advising PhD for IT Research In the Mediterranean region; Funder: European Commission; Code: 230833
Bibliographic References
2 Documents citing this article
Amine Hajji;Younes Louartassi;Mohammed Garoum;Najma Laaroussi;Mohammed Rhachi, 2023, Application of the AM2 Model to Simulate Anaerobic Digestion of Municipal Solid Waste, International journal of engineering research in Africa, 65, pp. 21-34, 10.4028/p-g7pjt2.
R. Fekih-Salem;A. Rapaport;T. Sari, 2016, Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses, 40, 17-18, pp. 7656-7677, 10.1016/j.apm.2016.03.028, https://hal.inria.fr/hal-01294253.