6533b873fe1ef96bd12d4915

RESEARCH PRODUCT

Reversible inhibition excluses the coexistence at continuous culture

Miled El HajjiAlain Rapaport

subject

[SDV.EE]Life Sciences [q-bio]/Ecology environment[SDV.SA]Life Sciences [q-bio]/Agricultural sciences[SDV.EE] Life Sciences [q-bio]/Ecology environment[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH][MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][ INFO.INFO-OH ] Computer Science [cs]/Other [cs.OH][MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS][ SDV.SA ] Life Sciences [q-bio]/Agricultural sciencesComputingMilieux_MISCELLANEOUS

description

We consider a simple chemostat model involving two species feeding on limiting substrate with reversible inhibition. Systems of differential equations are proposed as models of this association. A detailed qualitative analysis is carried out.We proved, under general and naturel assumptions of monotony on the response functions that the persistence of the two species is impossible.

yearjournalcountryeditionlanguage
2010-06-17
https://hal.inria.fr/hal-00859555