A PDE system modeling the competition and inhibition of harmful algae with seasonal variations

Feng Bin Wang*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

6 Scopus citations

Abstract

In this paper, we study a reaction-diffusion-advection system modeling the competition of harmful algae with seasonal variations in a flowing water habitat. We assume that harmful algae produce toxins, which have inhibitory effects on their algal competitors, that is, the produced toxins can inhibit the growth of its competitor. For the single population model, we prove that the algae will be washed out eventually if the trivial periodic state is locally asymptotically stable, while there exists a unique positive periodic state which is globally attractive if the trivial periodic state is unstable. When there is mutual invasibility of both semitrivial periodic solutions of the two-species model, we are able to prove the existence of periodic coexistence state.

Original languageEnglish
Pages (from-to)258-275
Number of pages18
JournalNonlinear Analysis: Real World Applications
Volume25
DOIs
StatePublished - 01 10 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Ltd. All rights reserved. All rights reserved.

Keywords

  • Harmful algae
  • Inhibitory effects
  • Periodic coexistence state

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