NUTRIENT-PHYTOPLANKTON-ZOOPLANKTON DYNAMICS IN THE PRESENCE OF ADDITIONAL FOOD SOURCE — A MATHEMATICAL STUDY

Author:

CHAKRABORTY SUBHENDU1,CHATTOPADHYAY JOYDEV1

Affiliation:

1. Agricultural and Ecological Research Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata 700108, India

Abstract

In the present paper we propose four nutrient-phytoplankton-zooplankton models with and without additional food source. Each of the models is incorporated with the influence of toxin released by phytoplankton population. Existence and local stability analysis are performed for each of the models. Extensive numerical experiments are performed to observe the global dynamics of the model system. Our observations indicate that the chance of extinction of population decreases due to additional food source even if in the presence of toxin released by phytoplankton.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology

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