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EXTINCTION OF A DELAY DIFFERENTIAL EQUATION MODEL OF PLANKTON ALLELOPATHY

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Affiliation of Author(s):计算机科学与数学学院

Teaching and Research Group:数理学院

Journal:Communications in Mathematical Biology and Neuroscience

Funded by:省、自治区、直辖市科技项目

Key Words:Competition; Toxicology; Delay; Extinction

Abstract:In this paper, a delay differential equation model of the growth of two-species competitive plankton with one toxin producing phytoplankton is studied in this paper. Under some suitable assumption, we prove that one of the components will be driven to extinction while the other one will stabilize at a certain solution of a Logistic equation. Our results supplement one of the main results in [Dynamic behaviors of a delay differential equation model of plankton allelopathy, J. Comput. Appl. Math. 206 (2007), 733-754].

Indexed by:Journal paper

Document Code:7584

Volume:2015

Issue:2015

ISSN No.:2052-2541

Translation or Not:no

Date of Publication:2015-03-30

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