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

Abstract

Chattopadhyay et al. [Biosystems (2003),68, pp. 5-17] proposed and analyzed an N – P 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.