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An algal allelopathic competition with internal and external toxic compounds

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)peer-review

A new mathematical model for an algal allelopathic competition is analyzed. The competition takes place in a chemostat-like environment, in the presence of a further concentration input of the same allelochemical compound produced by one of the two species. Steady-states and their asymptotic stability properties are investigated in the two different cases: in the case of an instantaneous constant internal production of allelochemicals and in the case of an instantaneous production linearly increasing with the concentration of the producing species. Some numerical simulations, obtained by means of Mathematica and performed by using recent experimental data are presented, which confirm the allelopathic nature of the competition.

Original languageEnglish
Title of host publicationMath Everywhere
Subtitle of host publicationDeterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Dedicated to the 60th Birthday of Vincenzo Capasso
EditorsG. Aletti, A. Michaletti, D. Morale, M. Burger
PublisherSpringer
Pages253-264
Number of pages12
ISBN (Electronic)9783540444466
ISBN (Print)3540444459, 9783540444459
DOIs
Publication statusPublished - 2007

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