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Mathematical Modelling of Migrated Phytoplankton Species in an Infected and Toxin Producing Phytoplankton-Zooplankton System

Published on September 2016 by Kulbhushan Agnihotri, Harpreet Kaur
journal_cover_thumbnail

International Conference on Advances in Emerging Technology
Foundation of Computer Science USA
ICAET2016 - Number 9
September 2016
Authors: Kulbhushan Agnihotri, Harpreet Kaur
1d3ed3d5-5eac-48de-8d0e-1d196a4cdf03

Kulbhushan Agnihotri, Harpreet Kaur . Mathematical Modelling of Migrated Phytoplankton Species in an Infected and Toxin Producing Phytoplankton-Zooplankton System. International Conference on Advances in Emerging Technology. ICAET2016, 9 (September 2016), 22-27.

@article{
author = { Kulbhushan Agnihotri, Harpreet Kaur },
title = { Mathematical Modelling of Migrated Phytoplankton Species in an Infected and Toxin Producing Phytoplankton-Zooplankton System },
journal = { International Conference on Advances in Emerging Technology },
issue_date = { September 2016 },
volume = { ICAET2016 },
number = { 9 },
month = { September },
year = { 2016 },
issn = 0975-8887,
pages = { 22-27 },
numpages = 6,
url = { /proceedings/icaet2016/number9/25935-t148/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Advances in Emerging Technology
%A Kulbhushan Agnihotri
%A Harpreet Kaur
%T Mathematical Modelling of Migrated Phytoplankton Species in an Infected and Toxin Producing Phytoplankton-Zooplankton System
%J International Conference on Advances in Emerging Technology
%@ 0975-8887
%V ICAET2016
%N 9
%P 22-27
%D 2016
%I International Journal of Computer Applications
Abstract

In this paper the dynamical behaviour of toxin producing phytoplankton and zooplankton system is investigated. The toxin producing phytoplankton are divided into two groups: susceptible phytoplankton and infected phytoplankton. Conditions of local stability of various equilibrium points are derived. Further it is observed that the range of toxin liberation parameter increases for the coexistence of species with increased number of migratory phytoplankton species.

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Index Terms

Computer Science
Information Sciences

Keywords

Phytoplankton Zooplankton System Viral Infection Routh Hurwitz Criterion Migration.