Dynamics of Nutrient-Phytoplankton Interaction in the Presence of Viral Infection and Periodic Nutrient Input
K. pada Das; S. Chatterjee; J. Chattopadhyay
Mathematical Modelling of Natural Phenomena (2008)
- Volume: 3, Issue: 3, page 149-169
- ISSN: 0973-5348
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toppada Das, K., Chatterjee, S., and Chattopadhyay, J.. "Dynamics of Nutrient-Phytoplankton Interaction in the Presence of Viral Infection and Periodic Nutrient Input." Mathematical Modelling of Natural Phenomena 3.3 (2008): 149-169. <http://eudml.org/doc/222207>.
@article{padaDas2008,
abstract = {Chattopadhyay et al. [Biosystems (2003),
68, pp. 5-17] proposed and analyzed an N – P model in the presence
of viral infection on phytoplankton population. They studied the
dynamics under the constant nutrient input. The present paper deals
with the problem with seasonal variability on nutrient input. We use
a general periodic function for nutrient input. We observe the
dynamics of the system by considering (i) the infected phytoplankton
consumes nutrient and (ii) the infected phytoplankton is not in a
state to consume nutrient. Conditions for the persistence and
extinction of populations are worked out. Our numerical experiments
show that if the infected phytoplankton does not take nutrient then
susceptible phytoplankton coexists with the infected ones. But if
the infected phytoplankton consumes nutrient then there is a chance
for extinction of susceptible phytoplankton for high rate of
infection. We also observe that periodic nutrient input enforces the
system to enter into chaotic region.
},
author = {pada Das, K., Chatterjee, S., Chattopadhyay, J.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {nutrient-phytoplankton; periodic nutrient
recycle; viral disease; chaos},
language = {eng},
month = {11},
number = {3},
pages = {149-169},
publisher = {EDP Sciences},
title = {Dynamics of Nutrient-Phytoplankton Interaction in the Presence of Viral Infection and Periodic Nutrient Input},
url = {http://eudml.org/doc/222207},
volume = {3},
year = {2008},
}
TY - JOUR
AU - pada Das, K.
AU - Chatterjee, S.
AU - Chattopadhyay, J.
TI - Dynamics of Nutrient-Phytoplankton Interaction in the Presence of Viral Infection and Periodic Nutrient Input
JO - Mathematical Modelling of Natural Phenomena
DA - 2008/11//
PB - EDP Sciences
VL - 3
IS - 3
SP - 149
EP - 169
AB - Chattopadhyay et al. [Biosystems (2003),
68, pp. 5-17] proposed and analyzed an N – P model in the presence
of viral infection on phytoplankton population. They studied the
dynamics under the constant nutrient input. The present paper deals
with the problem with seasonal variability on nutrient input. We use
a general periodic function for nutrient input. We observe the
dynamics of the system by considering (i) the infected phytoplankton
consumes nutrient and (ii) the infected phytoplankton is not in a
state to consume nutrient. Conditions for the persistence and
extinction of populations are worked out. Our numerical experiments
show that if the infected phytoplankton does not take nutrient then
susceptible phytoplankton coexists with the infected ones. But if
the infected phytoplankton consumes nutrient then there is a chance
for extinction of susceptible phytoplankton for high rate of
infection. We also observe that periodic nutrient input enforces the
system to enter into chaotic region.
LA - eng
KW - nutrient-phytoplankton; periodic nutrient
recycle; viral disease; chaos
UR - http://eudml.org/doc/222207
ER -
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