Dynamical Analysis of Toxin Generating Phytoplankton-Zooplankton System with Time Delay and Infectious Phytoplankton Population


Kulbhushan Agnihotria
Department of Applied Science and Humanities, Shaheed Bhagat Singh State Technical Campus, Ferozpur, Punjab, India.
Harpreet Kaur, Research scholar
I.K. Gujral Punjab Technical University,  Jalandhar, Punjab, India.
Harpreet Kaur
Department of Applied Sciences, Lala Lajpat Rai Institute of Engineering and Technology, Moga, Punjab, India.


The dynamical conduct of a delayed system consisting of toxin generating phytoplankton and zooplankton species with infectious phytoplankton species is investigated. The destabilization of the model system due to the time lag in the toxin generation mechanism is established. Oscillations are seen in populations due to of Hopf-bifurcation. Stability of the bifurcating periodic orbits is investigated with the help of Central manifold arguments and Normal form theory. Numerical simulations are used to verify the theoretical findings.