Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-26T03:28:03.055Z Has data issue: false hasContentIssue false

Dynamics ofNutrient-Phytoplankton Interaction in the Presence of Viral Infection and Periodic Nutrient Input

Published online by Cambridge University Press:  07 November 2008

K. pada Das
Affiliation:
Agricultural and Ecological Research Unit, Indian Statistical Institute, 203 B. T. Road Kolkata 700108, India
S. Chatterjee
Affiliation:
Agricultural and Ecological Research Unit, Indian Statistical Institute, 203 B. T. Road Kolkata 700108, India
J. Chattopadhyay*
Affiliation:
Agricultural and Ecological Research Unit, Indian Statistical Institute, 203 B. T. Road Kolkata 700108, India
Get access

Abstract

Chattopadhyay et al. [Biosystems (2003),68, pp. 5-17] proposed and analyzed an NP model in the presenceof viral infection on phytoplankton population. They studied thedynamics under the constant nutrient input. The present paper dealswith the problem with seasonal variability on nutrient input. We usea general periodic function for nutrient input. We observe thedynamics of the system by considering (i) the infected phytoplanktonconsumes nutrient and (ii) the infected phytoplankton is not in astate to consume nutrient. Conditions for the persistence andextinction of populations are worked out. Our numerical experimentsshow that if the infected phytoplankton does not take nutrient thensusceptible phytoplankton coexists with the infected ones. But ifthe infected phytoplankton consumes nutrient then there is a chancefor extinction of susceptible phytoplankton for high rate ofinfection. We also observe that periodic nutrient input enforces thesystem to enter into chaotic region.

Type
Research Article
Copyright
© EDP Sciences, 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)