STOCHASTIC MODELING of PHYTOPLANKTON-ZOOPLANKTON INTERACTIONS with TOXIN PRODUCING PHYTOPLANKTON

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

doi:10.1142/S0218339018500055

STOCHASTIC MODELING of PHYTOPLANKTON-ZOOPLANKTON INTERACTIONS with TOXIN PRODUCING PHYTOPLANKTON

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

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

6 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 language	English
Pages (from-to)	87-106
Number of pages	20
Journal	Journal of Biological Systems
Volume	26
Issue number	1
DOIs	https://doi.org/10.1142/S0218339018500055
State	Published - Mar 1 2018

Keywords

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

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10.1142/S0218339018500055

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title = "STOCHASTIC MODELING of PHYTOPLANKTON-ZOOPLANKTON INTERACTIONS with TOXIN PRODUCING PHYTOPLANKTON",

abstract = "We construct models of continuous-time Markov chain (CTMC) and It{\^o} 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.",

keywords = "Continuous-Time Markov Chain, It{\^o} Stochastic Differential Equations, Mutual Interference, Phytoplankton, Zooplankton",

author = "{De Silva}, {T. Mihiri M.} and Jang, {Sophia R.J.}",

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AU - Jang, Sophia R.J.

PY - 2018/3/1

Y1 - 2018/3/1

N2 - 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.

AB - 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.

KW - Continuous-Time Markov Chain

KW - Itô Stochastic Differential Equations

KW - Mutual Interference

KW - Phytoplankton

KW - Zooplankton

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VL - 26

SP - 87

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JO - Journal of Biological Systems

JF - Journal of Biological Systems

IS - 1

ER -

STOCHASTIC MODELING of PHYTOPLANKTON-ZOOPLANKTON INTERACTIONS with TOXIN PRODUCING PHYTOPLANKTON

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Keywords

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