Dynamical behavior of systems of two phytoplankton and one zooplankton populations with toxin producing phytoplankton

Mihiri De Silva, Sophia R.J. Jang

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

Three-compartment mathematical models of non-toxic phytoplankton (NTP), toxin producing phytoplankton (TPP), and zooplankton are proposed to explore the role of TPP in algal blooms. The mutual interference between predator zooplankton and avoidance of TPP by zooplankton are incorporated into the model. The NTP and TPP engage in exploit competition and the toxin produced by TPP has no effect on NTP. Using the concept of uniform persistence, we establish coexistence of NTP, TPP, and zooplankton in certain parameter regimes. We study the effects of mutual interference and avoidance by zooplankton upon the population interactions. In addition to the toxin producing mechanism, it is concluded that mutual interference of zooplankton is an important factor for diminishing harmful blooms.

Original languageEnglish
Pages (from-to)4295-4309
Number of pages15
JournalMathematical Methods in the Applied Sciences
Volume40
Issue number12
DOIs
StatePublished - Aug 2017

Keywords

  • mutual interference
  • periodic forcing
  • phytoplankton
  • uniform persistence
  • zooplankton

Fingerprint Dive into the research topics of 'Dynamical behavior of systems of two phytoplankton and one zooplankton populations with toxin producing phytoplankton'. Together they form a unique fingerprint.

  • Cite this