An Algal Allelopathic Competition with Internal and External Toxic Compounds

Paolo Fergola () and Marianna Cerasuolo ()
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Paolo Fergola: Università degli Studi di Napoli Federico II, Dipartimento di Matematica e Applicazioni “R. Caccioppoli”
Marianna Cerasuolo: Università degli Studi di Napoli Federico II, Dipartimento di Matematica e Applicazioni “R. Caccioppoli”

A chapter in Math Everywhere, 2007, pp 253-264 from Springer

Abstract: Abstract 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.

Keywords: Concentration Input; Chemostat Model; Instantaneous Production; Local Stability Property; Asymptotic Stability Property (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-44446-6_21

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DOI: 10.1007/978-3-540-44446-6_21

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