Radhouane Fekih Salem ; Tewfik Sari ; Nahla Abdellatif - 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 - https://doi.org/10.46298/arima.1953
Sur un modèle de compétition et de coexistence dans le chémostat

Authors: Radhouane Fekih Salem ; Tewfik Sari ORCID-iD1,2,3; 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.

https://doi.org/10.46298/arima.1953
Source: HAL:hal-00777548v2
Volume: Volume 14 - 2011 - Special issue CARI'10
Published on: November 23, 2011
Submitted on: April 25, 2011
Keywords: intraspecific, interspecific, Species coexistence , chemostat,Compétition,intraspécifique,interspécifique,coexistence d'espèces,chémostat,[MATH] Mathematics [math],[INFO] Computer Science [cs]
Funding:
    Source : OpenAIRE Graph
  • Co-advising PhD for IT Research In the Mediterranean region; Funder: European Commission; Code: 230833

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo DOI 10.1016/j.apm.2016.03.028
  • 10.1016/j.apm.2016.03.028
Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses

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