STOCHASTIC MODELING of PHYTOPLANKTON-ZOOPLANKTON INTERACTIONS with TOXIN PRODUCING PHYTOPLANKTON

T. Mihiri M. De Silva, Sophia R.J. Jang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We construct models of continuous-time Markov chain (CTMC) and Itô stochastic differential equations of population interactions based on a deterministic system of two phytoplankton and one zooplankton populations. The mechanisms of mutual interference among the predator zooplankton and the avoidance of toxin-producing phytoplankton (TPP) by zooplankton are incorporated. Sudden population extinctions occur in the stochastic models that cannot be captured in the deterministic systems. In addition, the effect of periodic toxin production by TPP is lessened when the birth and death of the populations are modeled randomly.

Original languageEnglish
Pages (from-to)87-106
Number of pages20
JournalJournal of Biological Systems
Volume26
Issue number1
DOIs
StatePublished - Mar 1 2018

Keywords

  • Continuous-Time Markov Chain
  • Itô Stochastic Differential Equations
  • Mutual Interference
  • Phytoplankton
  • Zooplankton

Fingerprint Dive into the research topics of 'STOCHASTIC MODELING of PHYTOPLANKTON-ZOOPLANKTON INTERACTIONS with TOXIN PRODUCING PHYTOPLANKTON'. Together they form a unique fingerprint.

Cite this