An algal allelopathic competition with internal and external toxic compounds

Paolo Fergola; Marianna Cerasuolo

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

An algal allelopathic competition with internal and external toxic compounds

Paolo Fergola, Marianna Cerasuolo

School of Mathematics & Physics

University of Naples Federico II

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

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.

Original language	English
Title of host publication	Math Everywhere
Subtitle of host publication	Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Dedicated to the 60th Birthday of Vincenzo Capasso
Editors	G. Aletti, A. Michaletti, D. Morale, M. Burger
Publisher	Springer
Pages	253-264
Number of pages	12
ISBN (Electronic)	9783540444466
ISBN (Print)	3540444459, 9783540444459
DOIs	https://doi.org/10.1007/978-3-540-44446-6_21
Publication status	Published - 2007

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

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Fergola, P., & Cerasuolo, M. (2007). An algal allelopathic competition with internal and external toxic compounds. In G. Aletti, A. Michaletti, D. Morale, & M. Burger (Eds.), Math Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Dedicated to the 60th Birthday of Vincenzo Capasso (pp. 253-264). Springer. https://doi.org/10.1007/978-3-540-44446-6_21

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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.",

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Fergola, P & Cerasuolo, M 2007, An algal allelopathic competition with internal and external toxic compounds. in G Aletti, A Michaletti, D Morale & M Burger (eds), Math Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Dedicated to the 60th Birthday of Vincenzo Capasso. Springer, pp. 253-264. https://doi.org/10.1007/978-3-540-44446-6_21

An algal allelopathic competition with internal and external toxic compounds. / Fergola, Paolo; Cerasuolo, Marianna.
Math Everywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Dedicated to the 60th Birthday of Vincenzo Capasso. ed. / G. Aletti; A. Michaletti; D. Morale; M. Burger. Springer, 2007. p. 253-264.

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

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An algal allelopathic competition with internal and external toxic compounds

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