Geodesic
Dynamics of Nutrient-Phytoplankton Interaction in the Presence of Viral Infection and Periodic Nutrient Input
K. pada Das1 ; S. Chatterjee1 ; J. Chattopadhyay1
1 Agricultural and Ecological Research Unit, Indian Statistical Institute, 203 B. T. Road Kolkata 700108, India
Mathematical modelling of natural phenomena, Tome 3 (2008) no. 3, pp. 149-169

Voir la notice de l'article provenant de la source EDP Sciences

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.
DOI : 10.1051/mmnp:2008062

K. pada Das 1 ; S. Chatterjee 1 ; J. Chattopadhyay 1

1 Agricultural and Ecological Research Unit, Indian Statistical Institute, 203 B. T. Road Kolkata 700108, India 
@article{10_1051_mmnp:2008062,
     author = {K. pada Das and S. Chatterjee and J. Chattopadhyay},
     title = {Dynamics of {Nutrient-Phytoplankton} {Interaction} in the {Presence} of {Viral} {Infection} and {Periodic} {Nutrient} {Input}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {149--169},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {2008},
     doi = {10.1051/mmnp:2008062},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008062/}
}
TY  - JOUR
AU  - K. pada Das
AU  - S. Chatterjee
AU  - J. Chattopadhyay
TI  - Dynamics of Nutrient-Phytoplankton Interaction in the Presence of Viral Infection and Periodic Nutrient Input
JO  - Mathematical modelling of natural phenomena
PY  - 2008
SP  - 149
EP  - 169
VL  - 3
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008062/
DO  - 10.1051/mmnp:2008062
LA  - en
ID  - 10_1051_mmnp:2008062
ER  - 
%0 Journal Article
%A K. pada Das
%A S. Chatterjee
%A J. Chattopadhyay
%T Dynamics of Nutrient-Phytoplankton Interaction in the Presence of Viral Infection and Periodic Nutrient Input
%J Mathematical modelling of natural phenomena
%D 2008
%P 149-169
%V 3
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2008062/
%R 10.1051/mmnp:2008062
%G en
%F 10_1051_mmnp:2008062
K. pada Das; S. Chatterjee; J. Chattopadhyay. Dynamics of Nutrient-Phytoplankton Interaction in the Presence of Viral Infection and Periodic Nutrient Input. Mathematical modelling of natural phenomena, Tome 3 (2008) no. 3, pp. 149-169. doi: 10.1051/mmnp:2008062

Cité par Sources :